{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "from sklearn.cluster import KMeans\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering is ...\n",
    "\n",
    "... the process of collecting a set of objects into groups or clusters of similar items\n",
    "\n",
    "#### For example,\n",
    "\n",
    "- Discover different species of birds based on their photographs\n",
    "- Segment an image based on the pixel colors\n",
    "- Organize news articles that cover the same story\n",
    "\n",
    "<img src=http://www.codeproject.com/KB/recipes/439890/clustering-process.png width=450 align=left>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Types of Algorithms\n",
    "\n",
    "- Flat\n",
    "\n",
    ">0. Start with a random partitioning\n",
    ">0. Iterate to improve the grouping\n",
    "\n",
    "- Hierarchical\n",
    "\n",
    ">0. Greedy grouping of closest: bottom up\n",
    ">0. Greedy splitting of farthest: top down"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Flat example\n",
    "\n",
    "<img src=files/kmeans.gif>\n",
    "<!--\n",
    "<img src=http://simplystatistics.org/wp-content/uploads/2014/02/kmeans.gif  align=left width=300> -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hierarchical example\n",
    "\n",
    "> Set\n",
    "\n",
    "<img src=https://upload.wikimedia.org/wikipedia/commons/thumb/b/b5/Clusters.svg/250px-Clusters.svg.png width=150 align=center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Dendogram\n",
    "\n",
    "<img src=https://upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Hierarchical_clustering_simple_diagram.svg/418px-Hierarchical_clustering_simple_diagram.svg.png width=250>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## $k$-means clustering\n",
    "\n",
    "A simple (flat) algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimization\n",
    "\n",
    "- Formally, it's an optimization over the possible groupings of objects\n",
    "\n",
    "> For a set of $\\{ x_l \\}$ where $x_l\\in \\mathbb{R}^d$ for all $l$\n",
    "\n",
    ">$\\displaystyle  \\hat{\\boldsymbol{C}} = \\textrm{arg}\\min_{\\boldsymbol{C}} \\sum_{i=1}^k \\left[\\ \\sum_{x\\in{}C_i}\\ \\lvert\\lvert x-\\mu_i\\rvert\\rvert^2 \\right] $\n",
    "\n",
    "> where \n",
    "\n",
    ">$\\displaystyle  \\mu_i = \\frac{1}{\\det{C_i}}\\sum_{x\\in{}C_i} x $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Algorithm\n",
    "\n",
    "- Iteratively improving the $\\mu_i$ **prototypes** of $k$ clusters\n",
    "\n",
    ">0. Pick $k$ random objects as the initial $\\mu_i$ prototypes\n",
    ">0. Find for each object the closest prototype and assign to that cluster\n",
    ">0. Calculate the averages for each cluster to get new $\\mu_i$\n",
    ">0. Repeat until convergence\n",
    "\n",
    "- Often very fast - but no proof"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = datasets.load_iris()\n",
    "X = iris.data[:,:2] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x2160 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(30,30)); \n",
    "plt.subplot(131,aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(init='random', n_clusters=2, n_init=100)\n",
    "kmeans.fit(X)\n",
    "\n",
    "plt.figure(figsize=(6,6)); plt.subplot(aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1],c=kmeans.labels_,cmap='rainbow');\n",
    "\n",
    "C = kmeans.cluster_centers_\n",
    "plt.scatter(C[:,0],C[:,1],c='k',marker='o',s=300,alpha=0.5,edgecolor='none');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Step size of the mesh. \n",
    "h = .005    # point in the mesh [x_min, m_max]x[y_min, y_max].\n",
    "\n",
    "# Plot the decision boundary. For that, we will assign a color to each\n",
    "x_min, x_max = X[:, 0].min() -.5, X[:, 0].max() +.5\n",
    "y_min, y_max = X[:, 1].min() -.5, X[:, 1].max() +.5\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
    "\n",
    "# Obtain labels for each point in mesh. Use last trained model.\n",
    "P = kmeans.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "\n",
    "# Put the result into a color plot\n",
    "P = P.reshape(xx.shape)\n",
    "plt.figure(figsize=(6,6)); plt.subplot(111,aspect='equal')\n",
    "plt.clf()\n",
    "\n",
    "plt.imshow(P, interpolation='nearest',\n",
    "           extent=(xx.min(), xx.max(), yy.min(), yy.max()),\n",
    "           cmap=plt.cm.Paired,\n",
    "           aspect='equal', origin='lower', alpha=0.7)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c='k', alpha=0.7)\n",
    "\n",
    "# Plot the centroids as a white X\n",
    "centroids = kmeans.cluster_centers_\n",
    "plt.scatter(centroids[:, 0], centroids[:, 1],\n",
    "            marker='x', s=169, linewidths=3,\n",
    "            color='w', zorder=10, alpha=0.8)\n",
    "\n",
    "plt.xlim(x_min, x_max);\n",
    "plt.ylim(y_min, y_max);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=5)\n",
    "kmeans.fit(X)\n",
    "C, L = kmeans.cluster_centers_, kmeans.labels_\n",
    "\n",
    "plt.subplot(132,aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1],c=L,cmap='rainbow');\n",
    "plt.scatter(C[:,0],C[:,1],c='k',marker='o',s=300,alpha=0.5,edgecolor='none');\n",
    "\n",
    "if True:\n",
    "    h = .005 # point in the mesh [x_min, m_max]x[y_min, y_max].\n",
    "    # Plot the decision boundary. For that, we will assign a color to each\n",
    "    x_min, x_max = 4, 8.5\n",
    "    y_min, y_max = 1.5, 5\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
    "\n",
    "    # Obtain labels for each point in mesh. Use last trained model.\n",
    "    P = kmeans.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    P = P.reshape(xx.shape)\n",
    "\n",
    "    # Put the result into a color plot\n",
    "    plt.subplot(133,aspect='equal')\n",
    "    plt.imshow(P, interpolation='nearest',\n",
    "               extent=(xx.min(), xx.max(), yy.min(), yy.max()),\n",
    "               cmap='Paired',\n",
    "               aspect='equal', origin='lower', alpha=0.7)\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=L, alpha=0.7, cmap='rainbow')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Limitations\n",
    "\n",
    "- Initialization matters\n",
    "\n",
    "> Rerun multiple times: **n_init** (default=10) <br/>\n",
    "> Smart(er) starting points\n",
    "\n",
    "- Assumes spherical clusters (use of distance function)\n",
    "\n",
    "> Preprocessing becomes important even in simple cases <br>\n",
    "> For example, whitening..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# transformations might help\n",
    "Z = X.copy()\n",
    "Z[:,0] *= 0.5\n",
    "\n",
    "kmeans = KMeans(n_clusters=2,n_init=100,init='k-means++')\n",
    "kmeans.fit(Z)\n",
    "C, L = kmeans.cluster_centers_, kmeans.labels_\n",
    "\n",
    "plt.figure(figsize=(6,6)); plt.subplot(aspect='equal')\n",
    "plt.scatter(Z[:,0],Z[:,1],c= L, marker='o',s= 30,alpha=0.7,cmap='rainbow');\n",
    "plt.scatter(C[:,0],C[:,1],c='k',marker='o',s=300,alpha=0.5,edgecolor='none');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(30.063975000000003, -1245.8812875, 2)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.inertia_, kmeans.score(X), kmeans.n_clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## So This Won't Work!\n",
    "\n",
    "<img src=http://www.squobble.com/academic/ftvmimo/spiral_A.png width=250 align=left>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What $k$?\n",
    "\n",
    "- How many clusters?\n",
    "\n",
    "> Too many? <br/>\n",
    "> Too few?\n",
    "\n",
    "- Various diagnostics\n",
    "\n",
    "> Check the minimum value of the cost function? <br/>\n",
    "> Characterize the clusters - Gaussian? spherical?\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example\n",
    "\n",
    "- Run $k$-means\n",
    "- Try different parameters\n",
    "- How many clusters did you find?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Okay, you didn't see this because this generates the data\n",
    "from scipy.stats import norm\n",
    "np.random.seed(seed=1)\n",
    "x1 = norm.rvs(0, 0.99, size=(3, 66)); x1[0,:] += 2.1\n",
    "x2 = norm.rvs(0, 0.99, size=(3, 67)); x2[1,:] += 2.1\n",
    "x3 = norm.rvs(0, 0.99, size=(3, 67)); x3[2,:] += 6\n",
    "X = np.hstack((x1,x2,x3)).T\n",
    "np.savetxt(\"Class-Clusters.csv\", X, delimiter=\",\"); del X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 3)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.loadtxt('Class-Clusters.csv', delimiter=',')\n",
    "plt.scatter(X[:,0],X[:,1],s=50,alpha=0.3,edgecolor='none');\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BPnnZTLMMaw0Ht6YyuNFXO/fCCJ+9bKZB4q7hoe0EQ8JfxuUmiim8MIIiHL9VupKRUTcHd8kCT/CdpSIebRvY7iQP/amsgjenR4/zFHkO9xYK+HazA9uPoMsC3l/IY6G41/HXcYOBe/HZrol35/OYyiroOAHWmjZiCugSD0VUQJAEa6OcmVu2j44TQpf5kRsJBuM8N8h5VcTHN0qIYzqwHheKWrommpY/EFABSTlv1lTSTlZNEjBfULFat1FQRXAcgdgVqksCh3f6sl+1jovPVpsQut2ET3dNfLhYPNZcTj+MEcUUqnRwMOYGEXYMDxxHMJWV2bvkAK5VUDWOSkbGj25X0HEDyAJ/6A12XrzYHS7bvNi1sFhUU2uI7bY39FAZJ/xlXE5eNWw83UkGHEsChzdnsseyE5gvqGjZQRo8CXyysZCEpCz+9mzSlXSYVqmkS/jB7Qq8MILIcUPB3dOaOXAvxnEyMmMqq0ASOQRR4mtVN32EMYUqcni2Yw4Jcb/e6GCjzzyxnJHwwWJhbFdixw1SEX41I2OhqI79LOPqwHME78zl8dVGO73vznqDfNAGpz3ClLN3vN8e5EYlg7YdIIwpBI6AIin7fbRSTDNRL+sWfvfLTVheNCDIf7jdQTWroGn7UEUey2VtZOdfHFN8vdnBdscFpYm31XsL+ZGf3T8i6onA4aPlIqt+jIH9VLpwHEFBu5glvx7WCM1LkrGI06BqnJncJNx0GedP2wnwcGtv5IQfxniw3kZeFY+c+uc4gvcW8rjl6/CCGDlVHAigjiv8loXR37u/lAgk5YoginF3Noc/e95AzfBAadI4ktdE1DpJZrXXNdh2goGACgDqpo+a4Y0MJDtugE9eNNIXQMP00XYC5qtzTahmZfzoThUdJ4AschfKSiCjjL6W7L7gpJKRUMnuZZMJgEpORrmbwd01k+YSy0vK+F4Y49muhXfmcvhirY2V8t662+64+N7N8tCz4XndwlZ7L2tmuCEerHfw8Y1hP7r9I6KCMMbTWjJPkDEMy+GdIr1J4estZyIdG8URQV/y4NhbMNM5eajTkeNwpsNvGafH/k5VINnFjjp+GJokoKhLp9Y9lxthp6BJPASOwAliTGWTkl9OEbBQVJGVRUznFOwYew/7USM3Djq+WrcHXgBA8mIZpyNjXD0Sc1jpQgVUAFDWJZQyEiil2DU9vKhbsPwA2X3BFiGJRuv9xTxuVnXcWyzg3kI+zbb2NFqKuPf6jmKadA7u2zyHER3ZwTvqedGbS9jP/hFR6Wfd0euPwYKqU6NtB/jjJ7v4ZqODbzY6+FdPdkemf+OYYsfwsNV24Y8RWva4UdEHdjteGEHiOXy7ZaDVbWXXJAHvzefTnYkm8Xh/ocAEjFcEcczg0uMIu4MoxquGjcfbBurm8YOxo3Krqg8MWuU44M50Ft9sGvhmowNZ5DCbT0rX01kFb85koUp86jgNYGyJYdyuf5RYmdLxImYG4zRoWj4ebxtYrdvpc50Qgu8sFkA4Aj+MkVdFqKKAP3vRHApmCEk6YG9WM6hm5YHydU/PNF9Q0b8f4gnB7IiOW3eEUH/Uc4TjhrPUvRFR+2EejuNhP5lT4lHNGNA/hRHF420D91f20qtuEKUGikByQ7+3kB8av9FDEjj8yo0SGpaP7Y6LpzsmXtZtiDzBetPB23M5zBdUTOUUTOUUBFHMBIVXjJm8ghd1e2BCgCrxqB5RvO0GET7pe4i/rNtYLmu4M0aQ3g+lFGFMj3xPZRURP7xdwXbHRRwnnU0A8MtXLQCJFUNGEdKAUOQ58Pzgi6GoS5jOKan+CwAKmojpMZYLlYw01Koui9xQiYXBOC2e7Zh4tmOlv3/ZsPDdlRIUkUfHCQE6OIDYD2NstJwBY9uDmCuoWGvayCoi3p7NYddMTHZ//e1p/Px5Y8hyYVSVYrGkoWm1B47N5tWhtb1/RBQA8Hwyhooxmmv/pIliiq2OC8cPUdSkiXUW9cza+tmfMn22Y8H2I1heCMMLIXIEX60T/Lk3KmOFtYQQlDMyfvasgUfbZnqj6zIPgScDokwWUF09ZIHH/eUinu9aML0QeVXEjYp+5A7AtaY9tCtebdhYLGkHZjO32i4e1wx4QQxN4vHmTBbljIxd04PlhcgpIoq6hDCKsdVx4QZxd2agNNAR2OozByWE4HY1g82Ok5aob1b1oet4dz6HmbyCthMgIwuYysoD/96a4WKz5YKQpEW9PwiTBA7vzuUnMkyWwTgMP4zxom4NHPOC5NhbMzm44egytHOM8nRGFvDhUhG/eNXC810bAs8howgw3BDvzOXw9WYHYURBCDBfVDGVlVEz3LR7djqroGUHqFsuDC/CSknD7akslsfM6tw/Imo6p7DKxwFc66AqiGJ88qKZOu6+gI35opp2P52EjCLA3CfUzciDGpOWk2ScNvsEgzXDwweLhQPbYoMoxuOagX5NuuVFWG86iGLKHKavOLosvLbw2vSGH96UArYfjX1Qml6Irzb2dqq2H+EXr5rIqSLa9t49Xs5IcPwozby+2LWwVNbwRl8WLKsMtr1LAoflko470xksl0eP1SCEoJqVR+64XzXsAeF+rePh7lwOt6Z0+GGMnCKygIpxZjh+NKTpA5C+YwqaCI7D0GfK+vE286rEg9KkUxBIzvfVRhu/crOMH92pwnATvyxF5PHlWnsg0/tPd9ZhOCF64tvHoYX35sd30wLDI6IY47nWqYz1pjM0wmDUsdfh9lQGfdKQZFL4vhlqEs8N3OwAEHYFhwdhuOHImjYhx+/cYlwvRs3i47jx2iUAeFIzUOt46DhBOj6mZYd4ujO4I/9qoz3kaP2qYcPpE7r22t55nqBh+fhms4MXdQsN04fhBNhsO9hquwiP2NixPysAJMGcJgkoaBILqBjHIoopNtsOXjWGM7pHQZd58CP0SnlVRMcNsGN4mM2rCOMYz3ZNfLHWQs1wEdPjaf52DG+ozEcp0mxSQZOgiDxatj/wPnH8pMuvf3NleSE+edE45r+UMY5rnakyxwRPljc6aDkOlYyM791MJoUTQjCTU4b8r6ZyXQFiX8ppJqeMtE7oR5N4zBXUdMAmkAgPJ5FhY1xtFosqah13wO7gzlR2rND94ZbR9YlKHsxZRcCNig7bD9PByT3cIAZPogEROaXJOuu/96tZGXdns/gTy8dKRYMqCnjVtPHT53XcmUqyWqLA4TtLBeSUg40MRzV3MFE643Vw/AifvGykDuyPtg28O58/lgecwHN4YzqLbzc7fdIMAY4f4+fPksCFgmK746WDzGWBx9cbBhRRGGl8O4pxm2d+X7Zpv62J5YeIKYZmbTbHdNMyjs+1Dqryqjjg1QEk2Z7sIQ/yo6JJB6dMZ3Iq3prJYtfyEMfJ9WRkYeD7e7uR/kWkiDxuVTMQeQLTTRZJJSOxoIpxKALP4eMbJeyaPtwgQjkzvvXc6JpoFjQJ291RM4YbYtf0IHAEub6Nhx/FUERuoM0bSNaT1M1KZeQ9Ufpq3YEXxghjIIgoXtVtBDFNNzRBGOPxtoGPlod9c/op6dKQO/y4Rg8G4yCe7ZoDI20oTTYV1Yw8NuNpemHaydd7Rs8XVJQ0CXXLgyRwkHkOf/aimf4d20vcyTOyPuDxttFyxgZVbcdHGFEUu9nXakaGJHADmwqeJ0PzNnOqCEopLD8CR4CsLCbXtG8TNV+Y3KzNhuUnOktVHJkZv+pc66BqrqBiu+Oi1ScqX6noZ+aoLgkc7s7l8HjbTI9pMo+lkoYwivHNpoFa17NnOqfg7dkcwjgGpcCbM9nkhWJ5UIQkc8XmpTGOQk+jdBid7i5X4jncrOrY6rhYa9jwowjvzeex1nIgCxxaTgAviJHXROSUfS3ZPIdPXjZBaVJmvFXNgIDgi7UWNtsuakYSoLlBCFUScLO6J5Yd50Ddz9uzOXy+2kpL9llFwJ1ppv1gHJ+OM1wh8MMYXhgPvROimOLL9TZ2u35PAk/w3nw+bXRSJR4LUnIvv2qMHuhsdRtNDsL2Q/zRox083jbhhTHyqoC/+PY0blQz+Gi5iCc1Ex03gC4LuFXNDOkiOQLsmF6aadYlHh8t5dGwA/hhsmGvZpOqykmhlOKXa3s/EwBYKKl4a+Z6bfZPHFQRQhQAfwRA7p7vtymlv3XS854Wjh+BkCTbw3MEHy0X0117QRMnlqU6KstlHSVdQsPyIQt82tn01caguHC9mYwm0btZhbwm4r35PDP1ZJwamb4Mli4JKGkSDCfEYlGFKgpYLHL4dLWFubyCubyIXLfsN19UoUsCeA74ZnNPRB7HwDebHUSUoqRL+HK9jSimiGIKP6KQupmwnJLs1o9i3qiIPL5/q4yOG4BgcllmxvUjIwtDelpxRFYHSAKl/uAhjCi+2ujgV29XhrJa2r6ATJN5yAI3FADNjRin88VaG99sGmnFou2E+MNHOyjqEgqadKir+dcbHUxlFeiS0G1G4fDWbA7TWRmvmg50mcfNSmYi2sOa4Q38TIBkPu1sXr1WGatJZKo8AL9GKTUJISKAPyaE/L+U0p9O4NwTww0iPFhvp1mpoi7hve68s/MOTLLKcDC3X6y+1fHQtPy066ttB/h6s4MPl4pndp2M60VeEzGTV9ISeccNoEl86uxveon5bFYZTPPHlGKprOHpjjl0TseP4AYxcoqAgiqh5SRz/8qajFJGSgW0oxo7DuIw7RWDcRg3qzoatj/gAZc0HA0HHPV9XmhAktUyRmSfyhkZ5YzUN3aG4N5iAbrMo2UnXXo3KvpQ6a9n0rtfkG44IbY73qFj1fwwTjVVuiykOuGG5ePt2RxKEy6THzT9gAVVx4Am7UC9p6fY/d+FGzT3cMsYKPM1LT8VIl5EOEIQ9/0Y204wNH6mYfoIo725f5PACyNstFwEUQzS/V4vjFHOSF0dFysxXlTcIEIU04m6HfeEuo+2DYgcBwiAG0bQJCHVkOx3ZxY4Dl4YYbOdGNRqXXNSgecgizwiSiHwHHKqkIrap3NyEqyRpAQ/m1eYazPjTNFlAd+7WcJ220MQx5jKymMzn6OyV4SMPg4AHywWsN3x0lLdbE45MDsUxxS2F4IbYXMg8GRAY2v7IV7WbThBhJImYbGkgecIBI6A58mACXX/tde7ZUEKipm8gqkxhrpHZdx6vW6DlyfyryWE8AA+BXAbwP9MKf3ZiM/8GMCPAWBpaWkSX3tkerOW9jPq2HniBlE6NbyakQf8q3iOIK8O7kx4joxcdK+L7Yf4sxdNBGEM0wvxdMfETNdMca2RWE0cJhxmnD1RTPFgvZ3O89JlAfcWR0+cP4yeeWHLTrJSNyo6mrYPww1Q0kU8rlloOwFuVjOJEWdOHvgejgOmslLi/+YG6W657QR4YzqLoibh9pSO1bqDSkZGzfAgCxwqWRmywOHDpeKFH2zOuLrIAo+lMSaY/SyXtSFbg9m8OtbrjZBERL5fSN6jf/pFrePiq40O1psOXtRNbHe8AcPN2byCua6w3PEj/Px5I/V9a5g+GraPD5eK4DiC5ZI24O5OupuWzbaDr9Y76fFax8ObMzEWS4f/28cxk1Ow3nIGjK+rWRnFI3Y0XhUmElRRSiMAHxBCCgB+hxDyLqX0wb7P/ATATwDg/v37Z5bJ8sMYz3ctPKmZ4DmSvATE5J8tXaCsS8v28flqK12khFCUMjJcPwII8N2V4pBL+0JRnagPz/NdK0191y0v9T0pZyQIHIemFcD0wmu383gdumvhfwXwLpLM7X9KKf3T0/iuZzvmwIBUyxs/cf4gKKX49OWeGW7HCfBwu4NXdRthnKyXqZwMP4jhhRHuLRbwg9tlvKzbaFo+FInHzYoO0wvh+BF4jsPt6QxqHReWFyGvifhwqQiR51DJKFipaKk4WBF5LJRUVsa7wpzlmjhtsoqI794oYa1pwwtiVLIy5sYETAdRM1w83jbh+BFUicdyWcOjbQNPtk103BCKKKCgxXCCCDM5GXdmcvhgsZBuZNaadhpQ9WiYPjpugJwi4mY1A10WsNVO/KsWiioKmoQ/eboLIFnzQUwh8gQv6taJgiqOI/hoqYhtw02nLJy3tOY8mOjbkVLaIoT8SwB/GcCDwz5/Fny+2oThJoHAZjvx53ljOgNZ4E9xZbilAAAgAElEQVR0A02aJzVzYNdDKYEXxPjB7Up6bLvjYq1pI4qTXcFiaVjYeBL6p5H3bExiCgQhhdDdbOxPJTPG8ncB/B6l9N8hhEgATu1mGzdx3gujgZbtw6hbSUaq4wRwwxgiR9JxOAVNgh/F2Gq7eGs6i0pWxo1K4oC+38qjX29SN300rCAZB9VyYc9EyKtcOsKGca04szVxFmRk4USdbY6f6Hx77uqOH+Gnz+rgQNLOWwDIqxKqWRn3V4p4Z25QrjLOk80LYqAb4/VGN+3/e3XLx2bbQRhRSAKH+YIKSmnqrN60fDRtH5o0PBpqHBxHMJuf7HvpsjGJ7r8qgKAbUKkA/hKA/+HEVzYBGpafCvWmcwoEjqBpBwgjio+W80OpWEppt/X77F2Y95u0AUnGof8mH7U4JkleFdNsWEET0XECCByB3PUeUiUeOZVlqQ6DEJIH8OcA/McAQCn1AQwrWyeEJHD7AuIYlhehYfqYPkS70Y8XRni6Y8LqisXbTgA/jAZMPikFWk6ANw/wRKvoMp7vWGjZ/oAPHM8T/PJVa2SH1GnghzFWGzZUicdcXjlwDAfjdDnrNXEZqBnuwLgaSiksL+rOx6QA9u5Xnkv83PpJ3g1Aw/aRUwQI3REeiaP6wRlfVeQHrB78MEbD8uBHiWXPF69aaNo++O45c6qIj5aLbGLHEZjEG3IWwN/v6qo4AP+YUvrPJnDeE7N/1EXShSFjrqAOBVSrdRvP60n5q6gn079fR5OynyCK4YfJENqDHuo5VUDTGizvZRRh4O+EUQw/iidyXaNYKeuom4lxW0mTEEQxVJEHRwiyioB35vPsxXQ0bgDYAfB/EELuIdEb/ialdGCmyqR0hktlDS07mThveSGe7Voo6RK+2ujgyY6Jj5aLR7pn3CCC4QbgCNe9vqTD742ZLEwvRND1tSnqUpqlGkVeE3FrKoN/+e02KKUwuiXjuumDIwQtJxjKUjUtHy8bNvwwRjUrY7mknSjwerpj4ne/3EzNHOeKCv7tD+ahntLaYRzKma6Ji0DHDfBytysg10Usl/WBRh+OkK67uou66WPH8KB2NzAN20c1K0PgOPAcQUkfnH3phzE+fdmE6Qaw3BBrTRvLJQ3ljIy7s7lDG4pyighN4tPNmCJymMur+OnTOgwvxLebBniOYLGkoqBK6DgBNlrOharuXFQm0f33BYDvTOBaJk5Jl0Z2P0zlBuu8tY6LR9t7fjpNK8AvVlv4/q3yiYKIJzUDqw0bcZxoRu7O5caWPG5PZfH5ajOtj/McwZt9g2j7zwVQvDOfn3iaVRI4fO9m4rbtRzF+Va9A4jmEMWXGosdDAPAhgL9OKf0ZIeTvAvhbAP67/g9NSmc4lVXwwRLBWtPBRsvBbF5BuXufeUGMx9vmgX42lFI8rpn42bM6HD+G6fko6RJ0iYev8BA5DndncrD9CLLI4S+8NXXojvVGRUdnuYR/8W0NGTkJzHcMDy3bx3dXBm1AWraPz1ab6ViPjhPAdEO8t/B6nblhFOP3v9pKAypKKdYaNv70WR2/9tb0a52TcWLOdE2cJlFMEVN6YOBieSE+fdFMJR0dJ0DLDnB/ZU/nmFNE/OxZA5ttFw3Lg8BzKGoifnS7grrlY8f0MZUVMZNXcauaGdBsvahbsLwQhBAsljRMhwpAgB/eqkA8wrNalXi8MZ2F3R2JpkkCmrYPO+jPeFOsNmxkZpMsWK+aQilNjXnzqsg22vu40ts2gefw/nwe32wacIMIPEewXNaGxlhstocHGNt+hI4TIn9IGnUc2x0XL3b30qtuEOGLtRZ+dKc68oWUV0X84FYFNSPp/pvKyakeZqudnMsNIzzfteAFcWI0d6eCewuFiVoqjHLblljK97isAVjr64L9bSQvkFOjkkksCfab7wFJue4g1poOVus2ZIGHLgvQJB5uGEGVBOQUCW0nAAXw3nwet7t6xKNQ1JIRGb3MFwCIPAfTi1Dd2y9gtWH3j78EpRTrLRt3pjMw3BDrLQdRnLR9z48wSNzPruV1S5gUDStAxw1AKeBHdfzgVmVshxbjVDnzNTFpKKV4tG1ivZVsbksZCXdncyPvp7WmM+Qv1bIDtPs8mx5stMFzBKrIIYoBjlAoAg/DjXB7Kou3Zgnur5Qg8dzQpra1r2mp9+deFKdBVc1wsd50QJFocPvNRWfzCl7WrYEMtu1HmM7KCPuuO457zu8SsooAN4jw2WoTdlcioEk8PlgqnFr15DJy5X8S5YyMH96W4ASJUeGoAGScLQE5QawySjwcRhRN2x87m0wSOCwUh9OrvVE1q3U73X0HEcVq3UZWEfFGX0aLcf5QSrcIIa8IIW9SSh8C+HUAX5/29/IcgSLycPt2m0AymuIgat17taCJaFgCOq6PWsfDXIHDbF5JU/7VrHys7jxJSCwZaoYHP4yRVQTM5JSh6wv6yvTbhotax0MQRXjVdMCRREuoCDyalg/Hjw41BdUlAQJPsGv6A6Nu4pjiq402swU5B85rTUySF3V7QIfUMP2x91MQjRaQ9467QYS66UHkOczkVfhxjCgCwpimw451WUBGFhDHSYnQ6jaMlHQJmsQPmW3yHIHSDag2Wg6+3tizTGiYPrwwTsv2isjjo+Uinu1YaNpJ6TGMYny91UFJl1DJSNjtmpUKHIe8JmKuoOLBejsNqIAkEPt2y2Am1H1c+aAKSLIvB0XS80V1yME8p4onau8W+NGB2uuYZwochyCOB8TIveO7hnfuQVUcU6y3HOyaHhQxmV3IjBvx1wH8w26X0zMA/8lZfOntqQy+2minmR+Ow4FDvYG9Yd0cIbhV1fF8l2KLd7FQVAdKzA3LH9BUOH6E3e6LoZqVhzKwRV1EfsTop/K+Eng1o6BpBWg7PjZbLsIoxo7pYbPlIqbAYsnHYklHWZfwqmnjZkU/UG+VVRJN5O892Bq4VoDi/3u4A0KAd+cKrKR99pzLmgASo8vHNTMd9PvGVPbYVYj97wggkYqM6rKtZuWBJg0geSf0phHwHIEq8RB5giCiKKoydk0PhCTzKwlJ1kniVWV1718AsDBXULFS0bFreqlcxPZDlDNyosXKyHhZH543+LJuYaWspeW6rCLi3mIBn75MfK50SUgGphs+ZgsK7kxlwPMEH6+UUM3KICQZjL6fhnmt+w2GuPZvPiDRXr23kE9Ka2GMsi6deCjrfEHF420TcZ/DdUF7vandCyUVGy0HPEfSlHJGFqBK/IV4MXy10Rl44Gx1XHy8UrrWgRWl9BcA7p/1987kFagSj+2OC46QIzmTLxbVtGy41nJQtwLwHMF2J/Eq65UN+ofKbrQcfLPZSYM3VUp2vv2lEFng8dZMDg+3ktllhCQbmKl9HayLJRWmF+JlPdEsm36Iki6h1vEQxhRuEGOj5aCkiYiiZAwOh4NL0n/p7Wk0LR+Ptw14QeKOrUkCKBKjwwdos931GXNea8L2Q/xyrZV22rXtAJ+/auKHtyvH2uSOkm0QMrrSMZ1TYFSCVAcrixzemcv3TSHgMJtXYbqJG3pWESDyBItFFfeW8mhaAZ7tWNi1PKw3HSwU1HRYcyIYV/G9m2VstBw83bEQ0WTj8MWrNvKaOJQNBpJKCaUYmMzhhVHaICUJHO5MZbBjeohjinuLhdSdvYcscgOZKgCsnL6P6/vW28ck7QpsP8SXa23ElGLH9LBjeFgqa92avIGlknasGzGniLi/UoQbhHhZd5BVhPRaj+L+e5rYfji0g4uiROC437+IcTbk1eMF7+WMjPcX8/hyrQ3TDTHffYB3nAA1w0NBE5FTRSwUk+AqipP7uF8H5fgRXtStId+euYKKalaG4YbQJH7kfU8Iwd25HLwwwnrTwcuGnZohGm4IQtAduhxjJq8cSUPIcQT/2ptVlHQJX6y1YHkRYkpR1hMj20Z3iDp7IVx9ttqD1gVAEmDUDO9IGr0eC0V1yIB5OqeMDcyqWQWywEOVeJR1aUjQ3dNjVXMy/DDGSlnHzWoGrxo2tlrJJscNIlAKrLcc5FUxvfcNN8RcIckkP9+1kO3bOLXtAKMSuaWMNJTh5QgBIUjXsizyWChqyGsiVkZ0+N6sZPBgvT1w7EZ1fCfwdYQFVafAt1sGbD+CLgnQyjweb5tYrdvgiI62kwQhv3KjfKwsU0GT8Bv35rHecrDdccGTxB23POGhmMfFDcaYz40xpWNcTKayCpbLYfpwpZSibvsw3aRc8is3ymmmygmiIRdnAKk7+n5EnjvU6NMNIgQhxcuGhYblgyccipqU+KQJPASeoKRJuDt79I7AvCrCCSI0rAC2HyKm4kBHLeN6MKnutNm8CkqBVw0bYUwxnZNxszJc0aCU4sv1Nmodr/v9SVl+uTwYfHAcwe2pzJBGsGnvldNUUQDgI6aA5SfGuUBSIgQAo9uEsZ+iLiGmiVVJ7/N3Z3OglOJVw8Fm2wHHEcwVVEznlKFSZW8DtZ+ZvAJZ4LDecro/E+Xc30EXDRZUTRhK6UCN2XRD2H4El+ylTL1uOWPUTuAw5gvqsXZXp02yeyJDL9n9uhnGxUeX97I2hBBUdBkVXcbdudxA6S+KkrEZssANlD5ed3xRHFN89rIJ248wm1cRx8Bq08KdqSzuLeQRg+KN6SxuTx0vIHq0bUKXBNxbLKQC4422gztTWZQyEstSXRNmcgqe75oD2SqBJ5h6jREqcwV1oItuFFudpNnCDaOuVonHk5qJqawysI7Gkeh/k4CspIloWjxML0pF6AslNdUpjivtl3QJy2Udtp9slHqfe1Iz8WJ3zxqsbQe4M5WBUtFQ63hdbyrtQLueoi5du3l+x4EFVUfADSIIHAEhBK8aNhq2D3WMIJuQxIG816Xnd4ON/Vmp08zk2H4IAnKkBXxSeI7g3fk8Hqy308BqJq+M3ekwLi7TWQUvFRtmn7t/QRNR7e5E45jiwUayAzfdEE86LlbKGrKKCEngDjQEPYhdy0ubMHKKiNysiDemM8iqIua75cODGk0oTUo5ze66nCuoEHku3fGXdQlRnIjf3SDGdE7GmycYL8K4XKgSj3sLBTypmbD8ZCbdnensazUNHYW66ePZroWOE4BSCieMUNFllHQJ9xYKh5raLhRVbLYdeEEMQghuTWWgdstyBU0cGDiuywIWSirWGs7AsV7g179uKKVYaw4L2NdbDn5wu3LsTQtjNCyoOgDLC/HleqIz4bhkbEdG2nM575Xx9gcvS0UNf/qsDjeMIPIEAB3Sa5UzJ4/0ax0XT3csuEGEoi5huaziac1KPUwKmoj3FvLHmv/2OlQyMn50p4qOE0AWOeZZcknhOIL7y8V0RmZWSR7Ovfv9VdNOSxrVrAxd5mEHET6cymC2oL5200TPTLE3gwwAeI5DJSMPlUxG8dVGZ6B8sdZ08N2VEjSRhxElAeJUVkkzBe8tjDdCZVxNetM0zoKWE6QB1VbbhRvG2DU9zBUURDHFR8vFA0uSisjj4xslbLRcOH6Eki5hOieP/TtvzeQwlVXQsHxoEo/pnDJSVE8phryzACAYcex1CaMYYUyvdRaYvf0O4Iu1NiwveSibXoinNSvdOQOJ2HGtaeNOn04jjGJstF1IPAfTCxFFFDerGRQ1Ke2AWiwNG5Ael7Yd4Mv1vdb5XcPDg/U2prN7i69lB3i0ZQ44U8dxMjZEFriJ3vg8R1hK+Aog8NzYURT1fe3UmiRAkwTkNfFEXaiGG+LrzQ7CiEIWuDQDfJTyjOmFQ3oQx4+w3nJws5rBF2utAc3JrUPsJRiMkyIQQBY4NCwfbrciIfM8OI6gZQfYMbyhDtj9yF2Pt6NylAHlHEdQychDHoqvUwYdxeNtA6+aSbejLgt4Zz53IluiywoLqsZgemEaUAFI5561HH/AcXx/GW+z7aZeKLm+Dqx35pJ5TOqYDqjjst5yhgSKNcOFLvEDvkA7pgsgCap2DA9fb3YQhHHa3v7mdBYtO0BEKUracHcIg9FDGZPxPMn9XDNcrNZtLBU1rDUdeGGMlw0b/+a9uYEyxzhsb7Q43vJC3Kjo+PhGCZvtZErBTE557QkJDMZRySgi7kxn8GjLgBNEUAQeGYVPy42WP2x3cFa8NZtF1Kf7rWZl3DnETPcorLecAW8sywvxxas2fnj7ZKPeLiMsqBqDsC+40GUePEeG0qr7y3j7DTp7BDHFVO50MzmjUr4Sn7zwwijGg412OgeRUuD5joVnOxak7mIXBQ4fLBTYi4cxkqWyhu2OO1BCmMkrJwuquuXEnCribUWAH8UQOS7tbjqMnCoOtIT3KHTv4awybD7KYJwmS2UNNcPFYklLNbXljASRS56zhdfwKpwUssDjw6UivDACAZmYz2FthDGqG5xs1Ntl5fydIy8oisgPDF4WOA5LJRUz3aGWvUzPzL40bmHMDfQ6pp8HMds3XDOmFF4YYSGvDgnnl7s+Vk07GBosvdV2sdneEzgGYYyvNztgMNrdqfT92dqMLOC7N0qYL6qoZGW8NZvFO3MnE3z3i4UJSewTOI4MbWrGoYg87kxlBwwNSxkJcxMeNs5gHJWcIuK7KyW8OZPDnakMFkta2rgzX1QHZBK2H2Kj5aBln60ruSxM1jh6nOh/3GSRqwzLVB3AO3N5aJKFHcODJHC4t1hASZdguAEUcXQZbyoro5KVsFq3IfIcRJ7DSkV/7XbzcRR1Ce/M5/CzZw282LWgSDxuVnXM5RV43VLlXEFJW2Nlcfim32g5CCmF4QSYyauoZGRYXjhy7ALjekApxc+fN/DVRhtBTJGTRXy0XMQbM4luMCMLEzV1nS+q6YDaHllFOFLpr8dSWUM1K6NpJ0Ld4/xdBgMAWraPtaYDP0rc9+f7GjReh6wi4u6ciLtzORhukDZ+9GdNX+xaeFIz09+XM0frDryILHRHvfVnjEsZ6VpO1bh+/+JjwI8xZzvooV23fLSdxBvE9ELcqmZw6wiOs3FMj72YNDEZuPnOfA6kO7ajZnj4wa3KUMCXU0SUMlJaS99oOVhvO6AxRY3j8Lhm4a2ZLN6bz6dpasb148WuhX/1dDcNcgwnhO2HmC0op1JGy8gCPlwq4kXdTjudXseaQZV4qBLLTjGOT8Py8flqMw0IGqYPy4vw5sxkLAZGlaDdIMLTHXPgWN30sdlxL5QP4VEpaBI+WCzgZcOGF8SoZF5vHV8FWFA1QaKYpn5NuixAR7JgtzruWDO1thPg4ZaBjpNkv25N6Qcar/XzaLuDh1sG/CiGLvOYz6uQRR51yx+5MO8tFLDasLFjeHi+a6GSkdGw/PRh8qJu4Ye3y5dyp8SYDN9uGUMjPZp2gO22e2rapIIm4QOWXWKcEy/r1pAmb71l42ZVPzUvq5Y92gm9ZY9+dl8GztK24iLDUhIjiGKKMDq+OWfL9gecxaOYwvRCbLaGRXy9P//FqxY6TuIr5QYRvlrvDM2XGkXHDfC4ZsIJIkQxRccJ8WzXQkwpxDFBEc8R3KjouLeYR14VkVNEzOVV5BQBGSVpYdeuYbqWsce4gPoo8/YYjMuIP8KIOY6B4DXeAUdFk0fLK3Tm8XfpOfH/g4SQRQD/J4BpABTATyilf/ek5z0P4pji2y0DWx0HcQxUsjLuzuaOLOjr/1zD8rHecpKAxw2giBzKGRmKyKei9brlIRixoLc67qEdE5stFwVNwnbHS7uxvDAxXjvMA0sWeJR0CasNG5LApbuLalaGeo1N2xjAG1NZPNlOgvUeJV3C0hjvqlH4YYxH2wZ2DA8CT7Bc0s998DeDMY5yJhn43Y8m8adqYpxTRMzkB2fuaRKP+TOcREEpxdMdE+stFzGlmM0ruDOVHdlFzjg6k7hrQgD/FaX0M0JIFsCnhJA/oJR+PYFznynPdi1stPa64XYND1+jgw8Wj+bAnO3qlrbbLl41bVDatTmgwO99tYUbZR1ZRUwFiT0d1H6Ooo+MKYXEc7gzncF224UTxNAlHu8v5I9UvvverTLWmg52Ta977QJWykcvPTKuJstlDb96p4JvNjtwgwh5VcSP3qgeqyT85Xo7HeQaxRSPtg0IPDl0ZtpRiGKKl3ULdcuHLHBYLunpBqTtBADFtWvhZhwNx4/wom7B9ML0eaeIicmm6YXY7ZpiKiKPdxeOPrj7dXlnLrfXYCEKmC0op1ZuHMXTHQuPtk14YQxV5LDWSJIJd0/Y0XvdOXFQRSndBLDZ/bVBCPkGwDyASxdUbY/w2qibHsIoPnL5495CAZ+EDehyYvZW0iQ8r1uIY6DjhMgqIupmksWaL6hQRB5uX1aA4wbtEsYxm1ew3nSgCHw6ykMSuCO3kmdkAf/R95fxcNuA6YYoZSQsFPdGjYRRjEfbJrYNFwJHsFDUJio8pJRi1/TTB9xJHeYZk4HjCO4tFvDGdBZ+GCOrCGlAFUYxdk0fMaWoZuWRLwA3iNKAqp/NtjORoOrL9Xb68gOAXdPDe/N5PN2x0pmFmszjO4vFM5l9ybgcBFGMT1420pmsbTtA3fTxvZtl8BzBB4sF2H6IIKLIKcKZGFYSQjCdU4ZGmB0XSikalg8niFDUjt5x9/PnDWy2nXTzP1dQwXHA27PZa2fYOUkmmt8khKwA+A6An03yvGcFN+JGIgTHusF6HYO9dHLHDVLhb79nR9P2sVjS8PZsFj99Vkfd8jGTU/DBQvFIguCCllgqPK0ls/8Kmog3Z7LHyihwHBnbHv/NppEGmVFE8bRmgidkImUcShMtWd3ce/lO5WS8z2ayDRFEMVp2Uj4+SxPLpJtuLygx3ACfrbbScjXPE3xnsXCm9gVWXzahRxwDf/x4d+BnY3sRvt3q4DtLxTO7NsbFZqvtpgFVD8ePsGN4qffgZZxZmuhym2haezrc21MZrByyAa4ZLnaMPQsEN4jwaLsDXWJr5qRM7C4ihGQA/N8A/gtK6ZCDJCHkxwB+DABLS0uT+trXJoxiGG44MDZmoaji4ZYx8LnZvHrsGnNJl5BVBBhumGZ+RJ4MzGbSJB5md2CzLPBphqll+0fO2szmVczmVVBKJ7qzCKMYNWM4a7feciYSVO2Y3kBABSTO2nXTY90jfWx3XHy90Uk1c5WsjPfnj1benTSPa+aA/i+KKB5uGfiVm+WBzykij6IuDjzkAQyVlb0wQtNKgsWjBmbjhMMNyx8KOBsjsmWM64s/5t4ZJVK/TGy0nKG19nTHPHTSQcPyUdITqcqO6cH0kmrJM9XERvv1bR1atg83iFHUxWvrdTiRoIoQIiIJqP4hpfSfjPoMpfQnAH4CAPfv35/YWGw3SOrkbTuALgu4UdEPTX9utBw83DLSAceVjASeSwYgcxzAEw4iTzCVU3DzCCUv2w8hcFwaQBFC8OFyEasNGy070XkQsuc6KwkcFooanu6YA92CALDasLFU0o/ldnvZUrX7RaH9x1lQlRBGibt9/0iYXcPDWnMyge1xaTvDHamGG470V3tvvoCHWwZ2TBcinwxI7i/9bbYdfLPZSTO4RV3EB4vFQzcvOSUZ3Lz/RVgdMRD2uj7QGaOpZmU837EGjhECVLKX28pj1LqkFN3mqPFrQBZ4zOQUtOwAth+BI8kQ5PmChodbHVQy0rHWUK+TvVf65zjgrZncREr+l41JdP8RAP8bgG8opf/TyS/p6MQxxWcvm+m8PcMNUbd8fO9maewN4QZJaaD3QA+iGH/4cAcLRS3tyhNF4OMbpUN1VBstB3/0aAeWH6KkS3hzOoe3uiU4kedwq5qYhtKlArY7HuqWB0XkUy2VM2JOYBwDbhhNdITAcRF4DtWsnM5l6zFXOFntv8e4uW5Hnfd2Hei44dBYIQBo2P65BFUZWRiy+tAkPg2o1lsOXuxa8MIIJV3Gm9NZvDdC7BtG8ZAXVtMK8KphH1qy4DiC9xfyeLCeiOgJAeYKKvKqgK83BjPMKxXWbcjYI6ck8ognOyaiiELgCd6Yzp5bya/XIVszko3HYlE79P4fxbgEwmHWDHMFBa8aNnRJSDW5GTnpTI/jRHM2lTt6ULXWtAe0lHEMPNwyxmovrzKTuKN+COA/BPAlIeQX3WP/LaX0dydw7gPZNb2hAcZBGGOr7aY3yn6atj/wQG/ZAYIosT3IygKibpF52/AOTIHumh5+5/M1OH5ysqYVwAsSE879300IwUxeSWv3PQqalGSy+hAFDpkLUNt/ezYHjiSLniMEiyXtWG31B1HNyChnpCFNFctS7THO2uK8LC9uVTP4xatmunYIAW5PJ5uGXdPDNxt7Ff9dw4PjR/j+rfLQeYwxwWLT9rGCw18qBU3CD2+XYfkRRJ6kmydZ4LHZTjQiswWFNT4whlgsaZjNK3CCCJoknKt1wIONdjrdwotjPKmZEAXu2GW3+YKKzZYz8B6cLw7PgN2PLPD4+EYJQRQj3KHIyDzKffIU5ZhNHvvfYwC6/onBtXuuT6L774+BMd4Ap8y4OvlBpm3KvgxWL4hq2wGalo+YJi+uuYIy8gZv2T4ebZv46bM6XuxaKOlSmmbd6rjY7owP6PazXNbQsPzU/JPnCN6ePZ7Y/LQQeQ7vzucBTL61mJCk26bX/ZdThGu38A5DlXjMFpQB41iBJ1gsnU86vaRL+N7Nchq4zOSVdJ7lKHNbywvRtoMhewNV4kEIhtykj5MxIIQMzdJkbs6MoyDwHLLnnDlxgygNqPrZ7HaEHwdJ4PDxjRI2227a/TeqHD4KReTxw9sViPxgSb2SlZE7ZlOMNiYIu4zi/5Nyqf/FlYwMjhseq1HNjC9TFXUJBU1MI+u8KuL5jgmR58B3Z965YYTNtou3Z3MDeiU3iPD5aitxXI9j+FGMrY6LxaIGniMIIzqyg9ALI9Q6HmJKMZ3bExCKfLIgmpYPP4pR0qVTTZUGUZzs0kT+3B2yCSGoZuUjPwAuI4QQHsAnANYppb9x3L9/dzaHopZk9BQx0eGdp02AJglpSft1UcTE4HCtsecHJwrcxLKgjIvNSdcEYxiB567dyHkAACAASURBVLD4mutHEZOM1VrTgeNHKOrikW15+lksadhsuwPB2VxBvZa2Jpc6qFJEHu/M5fHtloEgjMHzBLcqmUPN/z5YLOBV00HL9qHLAgiAR9sm/DBC2wmhShy+3TKwXNZwe2pvqGatz708r4rQJR6mF8HyQuRUEZrED3k5tZ0An60205LH0x0T7y8UBsoTRf30xZIv6xae7ViIYgq+qye4rDOmLhG/CeAbAK/lpkdI4h1z0cWecwVlyONNl4Wx6/CtmRxKmoRd04cscqnGkHEtONGauAooIj8w3L7H7Dmtc0XkcXvq5Julj2+UsNFy4AYxyhnpxP5bl5VLHVQBwHROQTUjwwkiKCJ/pDq5wHPd4CcJgLwghsRz+HqzAz4xpoLjR/h200BJlwesEHrM5lXYfoTtttsdQSPh196aGipBPKmZAxqSOAYebRmo3D5+hiaOKdpOAEngjmzwBiSB3eNtE34Yo+MG3axajKImXsv07FlACFkA8FcA/G0Af+OcL+dUKWdk3J3L4cWuBbdPqH4QUzkFU9f0oXtduU5r4jDencsPjHJaKmmXfpOriDxunjCTfRW4Em9UjiPHCjL2s1BU8aJuIYhoOiMmqwhQRB4bLScNqqZyMp7umIjiZETM2zM5rJQ1fLRcxExOHamFMtxhAZ/tJ0OQjyOUbFg+vlxvp15B1ayM947oWbRremjaPlYbdqpl2WpzWCnruHPIy4/x2vwdAH8TwLn/gIMohu1F0Lou/6fBZcioMc6dC7MmzhtJ6GlWEyhNmqVEjruWJbOrxJUIqk5KUZfwzlwO600HQRQjp4qYziWZpLhPUauIPD5YLODRttEdryLio+XigeW7nCoOpXk1+WgZtR5xTPGgL6ACgB3Dw+oR2tABQOQI1lvOgDjYC2NsGy4Lqk4BQshvAKhRSj8lhPz5Az536oa4q3U73Qj03P5fV3/BYLwuF2lNXDQ6boAvXrXTcWXVrIx35/NssPEl5XoZSBzAjYqO9xfyeHs2h/mCCqErWt9vg1DUJfzKzTJ+/e3/n7036ZErS7PEzpsnezb7PHFwkhEMRiQjMiJyrkw0UFBpo1po0xKklYBaaSFAG0m/QCsBDUibgtQQBAnqTQuSFiV0CZUqdVcpuyozImPk6CR9HsxtfvN0rxbX7Lk9N3PSne4MOsl3VnSjuw3u79537ved75wZfH61+kI91Op0IRNPw/PAzRkTbSfEg/0+1hoW3HCyGeYQVhBPdP5tOcGE7x6HqUlj45mUUux1PTxrOpnswRwXgl8A+Pc4jlsH8C8A/BOO4/7n499EKf1LSumnlNJPp6amLvxNWH6ERwdWqgNMCHNBt4PnX285crwCXIo1cRnx3XYvswcfWgE2Ws5zfiLHZUZOqgbgOA53l8spSZJFHjdnTEyb59N9FFUJP79ex61ZEzdnTPz8eh1OEOPLjQ622x7Wmy7+4Wl7ojPuEIrIY5Jp+mkdb4uqhPfmiqgXZBiKAJHnQChg+QmeNJg9RH6jvThQSv9LSukipfQKgH8K4LeU0v/oh34fzQlj2wDG8vNy5HjVuCxr4rLBCeIxr0Xg5LWb4/Ijb/+NQJdF/HilMjF6YxJadoCOG8FQBEwXFLTcEO6gLTgqWJfFo5HXhFA8bWZPIQmhWG86+NHS5EBhVWKRAn/Y6KDthOA4ZqD56ZXJ4ZcdJ8SjAwuWH8NURdyYMXF7rgiB40Aoxfe7fagSj5mBnUGcsNcf7fHnePNxkiu/IuVnqRw5LgMkgZ/o2/Y6EzVynA85qZqA0xCqe7t97HaZ107bCfGoYYEHEBECQ5ZwpW7gT9+fScfKh5UoReQnOko7L2gBigIHVeRhKAIknkdRldC0g7Ew2kbfx7/6fh+EsEw1APh6q4ufXa+hpEvYbDlo2SEqupTxqsorVa8GlNK/BfC3r+O1Z0wF63I2DkmXhXNXX0+Lnhdhs+UiTBLUDAXLVf1SGNvmeL14nWviVSMhFBstB20nhCoJWKnpY2Hfo5BFHvNlDTudI982jgNWct3jG4ucVL0ELD/KEKpvd7p4fGDBDRMokoApUwZA8Y/PRPx8tY5vd3qwByHChiKA5zFmWFrRn6/N2u35Y67RO10/66Nl+fjtgwYOBpl9TSfASlVHWZfR6AdYrum4PVdCx2WROqMY5h7meHsgCjx+PAj2tvwIpiphpab/IALYnhfhi412ep13nAh9P8JHi5OrsTlyvA34ers7MpgU4dAK8NnV6lgCwCjemzVRUEQc2gEknsdSVRs7LOd4c5CTqpeA5R9VdRpWgP2ej4YVIiEEBULRIBSmIqHnR/j9ehvxSGXKCRKIAgdOQFqx0hUB16ayU3x+lKDnsaTxkiYB48WtMTxpZNuKlLLonNEFyvMcbs2a+G6nl97wJpmW5ng7oEoCbr6GCc+ttjt2cGj0WSZgPjKe422E5Udjk94JodjuuHhv9mSvU26QrZpP5b4dyEnVMThBjKYdQBJ4zBTViaf64khVJ0wS7PU8OEEECmbBECQEdhBDlQT0vGgsMTwhFH9ycwptJ4TIc6gaciYOZ6vt4tGBlfbZp0wFMyUFu52sa/XcsclEL4pR0iXs9fx04iuICQSew3TxqMI1bar4xaqEph1CEjjUDeW5bZkwJtjrMafcqnH6bKnngVKa+cw53i6clMsZxiQnVTneSkya0H7e4zneTlwqUnUaQvMqsdP18GCvD0pZXl8QE9yZL2Khoqfmok4Qg1KK5ZrO9CIxQRBTiIKAJEkQJxQcRyCLAqqGDEopvDC7qBRRSD/jcfhRkiFUABuxfW/WBF/lWHgtB8yXNKwec68t6yz64FrdwG7PgxclmDZVfLxcHosBUUThVA6+fpTgD+uddOR3q+1iqarj1uzLVT9GRfSGIuLmTCEPwn0LMVVQxk7tisTDVC/VlpMjx4WhrMsQBS7TmQCQiSTL8fbj0uxwO10P93f76ddPDx18eqXyg2WCJYTi8YGFICJ4cmjjyaGNKKF4uN/Hj1equDFtouUEaRBzQRXx4UIJ+z0PC2UVfT+GFyWIYwJDkXBrpoBPlitoOyHujXwuALhSP7nM2/OisUkQAOh6Ee4slJ5bRr45Y+KPQQeAiBvTJhSJx8fLlef281+E7Y4LP0oQE4KmHcANWYj0bFF9YcbicQRxgq+2uui6IXa7PrwoxldbHfz5jxYwX8nduN8mLFY09P0I+z0flDJCddoEgBw53kQIPIcPF0r4frePMCbgOGChoo11FHK83bgUpGpIaEbhRwnWW85zScQQfT/C4wMLXTeCoYi4PlU4c4vKDWPECcVm28Vez2eRNQAOrRAHfR97PQ+zRS2tntl+jJ2eh5uzJvb7Pg7tgOmleA4FRcSf3ZmFKgmYL2uQRR57XR8UFHMl7cT3FiUEJ91zThPDU1BE/OJ6HS2HVQhqhnzum5gTJKCUYq1xZBLa9yL87mkTf3p79kzVxEY/gB8lWDu0cWgFcMMEHNjn/os/uZ6H6r5F4DgOH8yXcH2qgDAhMBUxb/fmeOtRKyj45WoddhhDEflTewnmeHtwKUjVkNAcx6gg/CTECcEfN7tphIvtx/h2p4vPr9bOVKHRZREUFHYQI4iPRtBlkUfPixATioouZwKI23aIjxZLeFJ2IPB8GgWyVNWwXD0SftcLynNLwIRQPNi3sN/3QAhwaAcoqmK6IFXpdK06gAnRL0LzNERZl/DowMo4/vIcAAoc9P0T897ihMCPCXRJSIkdxwFdl1Uv/MH0IQUjW19tdvHT67VTvy83jBETmt+sLzlUScjJco53CjzPofgcG4UcbzcuBanSJAGCwI35N52GFDXtMJOJBzC7gv2ej9Xp0ydmD3PRvt3uQRZ5+BGBwANlTQLPcZAFbuzUIYk8pkwFP1+tYa1hww5i1AwZHy6Uz1Qh2my7qUUDANQNGVFCMFdWocsiFgbVLoBV8PZ6PuKEYMpU0sk+J4jx6MBCdyCMvz5lXIhWabGi45vtXvo1x7HwXFHgT4y32Wg5eNp0kCQUssjjvVkT00UV06YKCpoSquHzFRQRzVNG7iSE4tudXuoKrssCPlwsPdcLJkeOHDly5PghcClIlSjwWJ0q4OH+UQtQkfgffMz/ar2AP7k5he92e9hue5BFDjzHiNPVupHqqYZYqergOA4rNQNLFR0RIS9V7m0ciw3hOA6yKOBavZCZlLKDGH8YsWjYaLm4OWNioaLhy81O6j3V9yJ8vX32at0kCDyHX9+aQpwQhDFBYaSCVjPGSVvHCfH4wE6/DmOC73Z7+IUuQREF/PrmFP642YUXJVAEHhVDhizyqJ7Sl+VZ087ErLhhgu92+vjZGapcOXLkyJEjx6vAhZAqjuP+OYBhCvmdl3mOpaqOsi7h0Aogi2wyThJebNVfL8iQRD5TreL58SDk0+KT5QpqBQW7XRc9L0LNUPD+fBFFlb23na4HQinmSirmSketL57noPAv1+aYpEviuPHH15vOWJv0SdOGJHBjZp6sWudlzEEn4aDvY6frgVJm0TCpnVdUJdxdruBZ0wYh7L1drRsTheqH9njFiRCgZYeYL2tYqOj487sL+Hanm3oWzZU0XDklgT60xjOxnCCGHyV5mylHjhw5crxWXFSl6n8E8N8C+J/O8ySmKp25jSMKPD5eLo8J1V+2QsPzHK7WjYlVsilTuVC90hBLVQ0dJ0sWZooqZJGHFyZ4cmij70dYb7ooaiLUkWpYklAEJ/igTJoiHMV2x8WDvaPqYMcJEcZkIsG5WjcwX1ZhD6wQTiIwJxHh0cd/cq2KqiGjYfmQBB5LFf1EbdZxKBKP451CngfEfKosR44cOXK8ZlwIqaKU/muO465cxHO9DIqqhB+vVF/Xy58b06aKj5aYB1SUUNZurBmIE4I/bLTTKlQYJ1hr+Jgvqei4ERJCUS8omDUVrLeyVSyOA2ZeUK3bbLljj2203ROrRoooQCk8vxo0V1Kxcey96IqAeuGovScJPG7PF3EbL57sPI6Vqo6OE2YI42JFz+QY5siRI0eOHK8Dl0JTlYMRq+NBtwc9P9PWmymq2O/5+G6nj6ImgecBgQeetBx8vFzBowMLPTeCJgtYnS68cAJlkut1nJBzuZ2rkoBPr1Sx3nTgBDHKuowrdf3CJvRqBQWfLFew1XERE4ppUzn1ZGSOHDly5MjxKvGDkSqO4/4CwF8AwPLy8g/1spceQZyc2FI7rp+SBB5lXUJZl1A1FJiaCInnsd/zcWPaxGdXqs8lRE4Qo+OG0CTm9l4vKNjvZaNvhhODUUJOpWmbhIIi4s5C6aV+9jSoGDIqRh44miNHjhw5Lhd+MFJFKf1LAH8JAJ9++ukp4oHffjxrOnh8YCEmFIrI40rdwPWR6JkpUxmLrCGUabA06ehPRynSrL+TCNV608Fa42gqr6xL+GC+hCAmqZ6rpEuoGRL+fq0FP0qgywJuzponemw17QCHFosVWihreaZbjnODUqYRlAU+d1/PkeMNQL5ms8jbf68JPS/E//uogbYTghDmt+RFCeqGkk7VqZKAOwslPNy3EMYEksjjk5UK7GOmqAVVfC6h8SMmdh9F141waAX48UoFXpiAgpGy3z1ppSTODRN8s93Fz6/Xx6poTw9tPD100q+3Oi4+XankflE5XhoNy8ejfRt+lEAWeaxOF049wJAjR44fHi07wIN9C16YQBQ4XJ8qYKl6cgzbu4ALUfdyHPe/AvgdgFscx21zHPefXMTzvs34fqePpsUIFcAIzEbLRevYaNtMUcUvV+v4xWodv1qt4/MrVcyVVQwLUsMMwpOw1/Pwd2tNrDVsdNzshGHfZ75bmixAl0Vstl20nBBOcETaCGGBzqOIE4KNYyL3JKFjj+XIcVr4UYLvdnqpoWwYE9zb7cPyoxf8ZI4cOV4HooTgm+0evJCt2TiheLhvoeuO2968S7io6b//4CKe501GlBCIPHdqQfakm8VoxWgUPM9lKlEfzJdwY9pEQuhzK1QbLQePD2wEcQLLj2H5cToxCGTzBDdbLr7a7GK7w5zdCwojWnYQg+PYhOWwghbEJG03jmKUjOXIcRYcWkF6wBhFwwry6meOHJcQTTuYeB9oWEGa9PEuIm//nQMJoXDCGPd3+7D8GLLIXOBPU/6smwpUic9EtmgSj9ni6dodw9iaUQwjbAilmCmqaeXIjwjChKDvRaCUkSpdPsoT9KMEjxsWSpqE/Z6PmFCsNWwYigRTFdD3Ivxho4XPrtZQVCVokgBF4scMR3PxeI6XhShMPozk/mM5clxOTDKtft7j7wpyUnVKEEJTEV6j7+Nxw4YTxHjWcjBjqigoIsKY4OG+BV0WTszd6zgh3CjBtKlidbqAph0yZ3FJwO35YqZ6dBb03AhfbnbSk8N600HHZWaeu10fssBDlwX0/QjTRQW354qptxMjW2y68NqUgc2Wy6pRNIQqqXhy6EASOBiyhJ9er4HnObw3W8R3O7309QqqiCu1HzZWKMfbg2lTxZpkZ4i6KHAvnYyQI0eOV4u6wQ7nbniUASvwHOZL77YOMidVL4Abxri/Z6HjhJAHAcq7g1gX249heTHcwMH7cyZEnpGU/b4/RqoIofhqu4u2fdRvni4yh/YoYdWj82Qdrh3amVLs8P11RvIKdVlERZdYq3LELmG0hajLIhYrOg7tAAmlkAbByfu9CC1nD6Yq4vp0AVOmgl/eqKPthJAEHhVdujAvqhxvL/Z7Hv7+SQtNK0CtIOOnV2tYrOoQeA4/Xqng6aGDvseSEa5NGWfO0kwIRULoxEpujhxvIsKYSUsuYrKOUor1lou9rgcKZtZ8tW681N7N8xw+WangyaGNnhtBV0RcrRuvdAqcEIr1loODfgBR4LBU0S/dwSsnVS/AV1tduMGRePYPG23okoiSJoEfXIgJoeh5MWqD9tek8uduz8sQKgDoOBF+sZqdrLODGE8Pbdh+jKIm4dqUAV1+8Z9pkp6pZshw/BjesJqkiFgoa5mWI8DigWZLaupZpSsCKCiKqogoIdjv+6CU/fyjho2eH+Fn11iAcccN0bJDKCKPlZrxSmJ8crwd6Loh/o+vdmENplctP0bLCfHvf7I4aEmfz99srWFjq+0iIRRFTcIH56j85sjxumH50WBYI4YgcFiu6hnLnZfBs6aTmdp+euiAUPrCjNiToEoCPph/dZ6Ex/HwwMLOQPcLAD23BwqayeF93ch3nAnoOCGeNh00rQA7XRezJQ3yoLLDcxzaToiSJsFQhFQXFZME6y3mIi4KHAqKiGlTTU/MXXdcmE4pa70NSVUQJ/jDejs1/XTDBB03xM+u1V4Yw1LUJDSPTenVTAVTRRWtwePK4HUqE0SEH8wXMWUqaDshdFmAoQj4YqObEq2SJqGgipAEDm6QoO2EeNZ00s/lhQl6XhefLFfeeW0Vx3FLYDmYMwAogL+klP6z1/uuXj/WGnZKqIawvBhrDftEL7TTYqfrYb15dLPoexG+HtiB5Hj9yNfE2UApzUzWJQnFs0MHhiyeqzKz0/XGHtvueC9Nqn5IxAnBXm/8/W+1vZxUXWbYQYw/bnVACCM5bSeCEyZ4b9YEBw4VTUYYMaLBccyXY7/vo+dG4DgO00UF3+308eVGBzdnTFydMvD+7NGJOU4IDqwAThBDEXl8uHjE8g96wZiLehARHNrBCy+a1ekC+l6EcBCuLAx0TwLP4eu4mz5eUEVcnx5vM3Ich5miipkiW7BVQ4YfESgij54Xguf4TJhzz4vGiCKlbNG+66QKQAzgP6eUfslxnAngC47j/m9K6b3X/cZeJ4I4mfh4NCEu6aw46Ptjj7lBgr4fvTCuKccPgnxNnAF9L04J1Sj2+/65SNWkaT1C3wwvbkIxcUI4nvTga0ROqo5ht+ulfzhdFlMhnh0kMBURssjj17em0HFDWH6MWkHF7fkiHh8wc80H+xacMAIPDi0nhCoJMGTWdtvtuPhq34I38OJRJB739/ooaRJUSTjx4jhOtCahoIj4+fUaDu0AhAJTBSWtkv1ytY6OG0LguVOPupqqhE+vVKGIAr7b6cJQRNQMBQkhkCUBJW3yjWrSon3XQCndA7A3+LfFcdx9AAsA3ukbyNV6AX/c7Gbaz4rI49o5tIRDCCOaEEopul7ErES8OCdVlwD5mjgbhFc0DTtbUrHdzlZ7hgfpIXpuhJYTQJUEzBTVSzPNJ4s8KoaEjpM9zB/PzH3dyEnVMRwnMFfrBna7HniO+TpdrRtjJ4WGxU7JPS/E00MbQUzAcwA4YKGs4dAOWATNTAGbbQ9BwghaUZMQJxQ7XQ/Xp5j4e7TfDQA8j1PrlESBn1jR4nnuxGnESaCUou2ESAjFT69VIUs8/vZBA19sdCAJPD6/UkU0S6DJwthp6vgCfdfBcdwVAB8D+IfX+05eP+bLGn59awq/e9JC34tRUEX84noNC5XzOTBTSqHLApp2AE0SsNP14IYJTFXE/b0+rCDCe7PFC/oUOc6Ld31NEELRdAIEEUG9oEwUdhcUcYxAcIP7yXkw9Dc8GOhkZ4oqbs0ctf7WGnamjb7ecvDZlepL58BeND6YL+H73R46TgSeZ+//Ig5lF4mcVB3DbEnF7kjfWRJ4rM6Y+OVq/UTGXjMUiAKHrbaHcNDKIJS17lpOiFphUB2i3ESCNGx/mKqE2/NFrDVshDGBIvG4NWuORcSchIblY6vtISEU06aClZqOrbaHjbaDKGEL+NaseeJEVdMOcH+vj2+2exB5DgtlDRzHfKxEnsNsUYUo8Njuevh6u4u7SxWsN51USLlSPf8kxrBN+TZMb3EcVwDwLwH8Z5TS/oT/f+dCxj9cKOP2XAleyELEzzsxmhCKP2520HUjSAKP+/t9hDHBStXATImtte22h8WKjsIFiNb9KEHLYYMZNUPOJ17PiHd9TYQxwRcbnXSw6BFn4b254kSy9NFiGU8O7cwg0IukFUPCFicUtYI8ttcLPIcP5kt4f7YIiuxQlR8l2GhlD/VukGCr7eLaOQXyFwVVEvDjlSqCOAHPcZeG7I0iJ1XHUDVk3Jo18bTpIIoJDEXE7bnic0ugAs9hdbqAe7t9GLIIL0pQ0VlLr+eFWB6YgVYNGTw/3heeGqkizZc1zBZVhAnTM5120270fXyz3Uu/7nsRtjpuxven0Q8QxgSfXqmO/bzlR/h6q4uNlpNWn54c2ihpEnZ6HhRBSMXyCaHY7XgwVQl3l8oQef7cI79RQvD9bj8V21cLMt6bNU81+XgZwXGcBHbz+F8opf/bpO95V0PGBZ5D4YJacjsdL9X2lTQJ06aCjsu82IYWJwCzFzkvqdrrebi320+zMU1VxCcrlUu5sV9G5GsC2Gw7mUltSoFHBxZmTGVsGEkS+DNVWIM4wRcbnXRaneeBOwulie2xSXu1HcSYJK86PlxyGXBWq5UfEm/mHesVY6mqY6GsIT6D303VkJkwvW6gZQfo+zEEnsP7s8W09SaLPO4slPBgjwUkCzyHK3VjrDXH8xxU/mwXzWZ7PHfv/l4fy1U9c3PpuhFsn4nv/ShB1ZBhqsxJnVLACY7aeVFC4UUJoohC5AkEjgelFPt9H04QQxYFuEGCGzMFFBQRfT+GqYovdYJ/uG+lhOqg7+O7nR7+uNnBhwtlvD9nvlFRJRz78P8DgPuU0v/mdb+ftxn9Y3FPuiyi7URwwwQl7ei6N9XzbXVxQvBg38rcdCw/xkbLxer05TjFX2bka4Kh540TlCShcIIEJf185PxZ00kJFcAO7w/2LNQN5VQH3oIiguMwRqyKJ+hnc0xGTqpOAM9zkM9QedFlEdWCjLYdYrakYbbEeuAfHPPdmTZV1A0FbpRAFfkXWiWcFtEEMTvF+AKJCSs/j37/9elCmjgoSzyC+Ki6VVIl9jUFYkJh+THihKKgCKk1w9/cb2CupKYn9lpBxt2l8pmI1TC0uedF2BvYOPS9mI3Gb/Xwi9Xam9Rq+QWA/xjAtxzHfTV47L+ilP7Va3xPbyWO+1BVDRkdN4Q6chharunn9qtyggTJhDXW8/LA51MiXxNgxKXjZP0KeR4XYpg5ybYnjAm8KDnV9a9KAq5NFfCkYR+9X1XEYuXy2BW8CchJ1QXio4VS6m+lSDyWqwaqE3rgPM9diL5jFNNFBc8Os6eglWNVKgCIYjL22LOmjQ8XSthqA7Omio7TByhbZPWCgrvLZXTcCGsNG1FCMF1UsFTRIYs8rCBOfbuGlYGWHeLQDs40lSHwHBJC0RlJOB9yWj9K0HWjN8aqgVL6dwDeGAb4JmOxomFvIEwHmI/cb25NoWYocMMEFV1Og8DPA00WJrbuDeXytiEuE/I1wbBS09Gw/Iws40rNuBANaUERYR9r1QkCd2pNLsAGs2qD4oAmC5gqnK7KleMIOam6QIgCj5szJm4OpikIoWjaAcQzWBmcFUOR+9WaAS9M0qkOUxXx4WIJLTvERstFmCSYKqjw4wS9YycaQphP1ep0AX9zvwFK2RTkYlXBh4slzBRV8DyHX6zWcW+3h3t7/XR79EK2iNVjm0Lfi3EWP7mlqo4nDRv8yL5bHxH15ws7xyRIAo/Pr1ax1/PhRwkqhnwuI1FKKZp2iJ4XDQx82U1FFtkhaXQyShZ5rFQv1+RRjssNVRLwk6s17Pd8uGEMAjbU1HHCcx8ar9QNNO2s1+G1unFmS4SiKuU2JOdATqpeEXouc3QeNd38eLl8aoGdG8bY7foglGKmqI75QsUJwb29fto2qxcU3J4v4uaMCcuPsNP18OVGF4Yi4MPFUvrzv3vSxP29PsKEsNJuWYMqCSgoIrbaLparOpYG5d69no+/vrePxYqOekFBUZWw1Xax1/URxARFTULNkNiUybHTUPGYhoUQir2+D3ugu5odELUhrtYNiDwHDoAfM63X8OZY1KQTfbHCmKDrMT+wfCN4NyEKPJaq57NlGOLbnR4a/aNkgrIu4ZPlCvjBMEpF0cVUCQAAIABJREFUl9ByQsgCj7myeqkFszkuJ2SRx2xJxR/W22mFdb3p4EpdP5ezeUER8dNrNez1fNZRMJVXdpjPcTJyUnUGOEGMQyuAJPITpzVGcW+vnxIqgE0fPWk4uD3/4mmOjhOmru4AsNlycXu+iPmRsdtHB3Zm8z+0Ajzct/DerIl7e/20vOxHCbpeBz+7VoMbJgPnd6a1srwYTyMH/+6dWcgCj9Ygm5DjODQsHw0rgMBzWCgzU9R/7LRwtV7AjZkCOk6EMCG4MajKjb6XakFOrSOcIEaYEDw+sNAfEWnudD1cqemQBD5d+EtVHUtVHR8tlbHeclIh/UlC4L2eh/t7/fT3VDcVfLRQeuerWoTQNAwbYLqfnY4HQilmS+q5I2HeVnScMHMdA0yncmD5qf9braCcyfMtR45J2Oq4KaEaYqPlYrGin6lddxyqJODqD+DbdHyPGQWlFHs9n1lBSDwWK9obO8X9Mnh3Puk5sdP1cH/3yFblqcTj05XqRIFhECcTA45H9ULPw9OmnRIFy4/gRwRfb3UxV1JTsfaBNR7L0bB81Apypl8PsOmS/Z4PJ4xZi3LaRHcQaVNQRdQGfXNJ5BENiODQdE4cOPu6YYKeFyMmTJM1JE08x+GD+SJa5RB9L0JBFTFVUBATii822ug6Iawgxn7Px9UpA6oowAlifLfbw2ZLR0mTUNSYNcNQVzBlKi80PI0Sggd7VkbjwrIavQurWryJWGtYqVdZWZcwU1Tx6OBoam2/5+PmjInl2pv7OwriBE8PHXQcpvu4Wjcu5ERuT1izADsQ4YfLjM3xBoNSio2Wi/2+D57jsFDRJnpQHdc+sZ9lh9DzkKofAmsNC1sdD0nC9pjb88UMabq318de9+j+tNv18PnV6jtDrHKDlVMgIRSPD6zMY0FE8KzpTPx+iedTMjKK0y4WJ0hAQfG0aePJoYOdrofvd/v4dsSHalJcgcDzaUxMmBDs9z3sdD3YQYxkZAyQ5zlUDRmzJTUjmJ8tqnCCGIRQDAfthmJz5pk1/l41WQDHcagXFFybKmDaVBETir/6dg9/97iJ73b7WGtY8KIYmy1m+7DZdhEnFP4grqfvRSf+Lk9Cz4smRuKclri+TSCD38N2x8V6001/L103wt88OBibAH3WckDfkLyvSfjjZhc7HSZOb9khvtzsnEiIzoKT2sf5SHmO02KtYWOtYcP22eTy/d0+tibY3Uy6pnieyUQuM9I9JjnaY0b9Ef0oyRAqgOlzh5Y/5B2IMbsQUsVx3J9xHPeQ47g1juP+i4t4zssEL0om5u9Z/uRxap7ncKVmHHsMpy7LlnUJfS/KtMs0SUDDClKR+eKEaI+lioYpU0EQJ3i4b2G/F+DQCvDk0EYQJZifEGGjywLKuoS1hoWdrosgJtjsuKgUJFyt66gNxJOqJOBavZCZHByWdo/j4b6VEigAiBOgZTPvIDeMU8uG0THftnM2MkQII53f7fTwuGGlJz/tkp/yLhI7XQ//5vEhfvuggd+vt/GsaY99T8+LUvI6RBQTxK9pc/OjBC07ODFc+UXoOOHYKZ8QZFIQXhYlXcq02AFmDzJ9ypioHO82KKXYnnAdbnXGSdViRRsjUNfqhUuv0ZsUXG77cdqZOb7XDNF2Qnyx0cZvHzTwrx8dTiSaLwPLj9B2wktF1s5NizmOEwD8dwD+FMA2gN9zHPd/vk3p45okQBS4MWL1PEPKK3UDhiLioO9DFDjMl7VTC6lXpwu4v3fUahR5VkYGmNlhSZdSYff3uz30/QhLFR2LA5uDoipBHFgUSIPXPrAC3Jot4s5CCU+b9kCvpODWjImmHWK9yS7yqiGnzu8lVcZ2x4UmC1iu6bheN9ByWNimLouYHxHqDisfHMcx3ZnAYVg80GQBbsjMUGWRHwQ7S5kqmSqdnt8nhOLhgQWB5xATijhI8HRgC/GutP46TphpR/dc5qC/UNbAj5QUC4qY+Rpgp+TTuoCHMUFMyIWU7tcaFjZaLihlh4zrUwWs1M6m/ziJDA6nYM8Lpl1U0fdiGIqQ66dynBqUTq7ETKqoDzNUm3YAPyKoFuQLt9l5HuKEIIgJ9EGn4bQ4vpcMMZwwNFVp7F5JKZOfDO9/YUzwcN+CJgsvre+ME4Kvt7upTEUWeXy0WLoUwvyL+Ct+DmCNUvoUADiO+xcA/hxvUfq4wHO4MWNmbmKKxL+w8nQabdAk6LKIX91gwbOEUhRVKb1oRxee5ccQeR5VXYETJPjHZ218drUCSeTx/lwRccJc2zmOQ5JQBHGC2ZI6ls+30c623gileHLgoGrIqcGnIgqQRAGzJSHz85RSPDm0sdXxQAjFlKmAUoopU4UdHD3vbEnFr29OY6qoYL6sZQTBZ6niASyjMIgIlqs6TDWC5UeQBR4LFe3S6xEuCkOD1FEUVQm2H2daC3fmS6A40nAoEo/35148YUQIxf39fuq0bygi7iwUIQk8um4ETRLO5P/UcY6IO3t+4PGBjVpBOdPNpGrIEw84FxnkXdblM23OlLJQ9KYdQhI4LFX1fBL1HQTPMxnEcCJ7iJOuTZ7nMP0KAugblo/9ng8OHObL6tjB4FnTwXrTQULoYD8oTiQ3dhAP9hMxPVQtVvR0oGmIWkFO912B53B7vojvd/tpi1CWeJgTqMZ+z39pUrXecjJh02HMYs5+sVp/qee7SFwEqVoAsDXy9TaAn1zA814qLJQ1lDUpM/3nRglCj5w47n8ezBZVrNT0jEvudFFJvUyY5UK21OxHCbbaHso6u7mOTicqEn9ia0w+VrXoOCEsP84s+KeHNmaL6pgwf7PtZm6WjX6AIGG/k+vTBbTtAAmluLtUxt3lMgD2u2xYPhr9AKLAgpvPEkNDhlUxcKjqMqqDG+DbEMJ8WvATPmpJk7BY0dD34zRA+/qUAVHg0XVDJISiosunmo7c6rgZbYQTxPjtgwYKiphqtKoFGXcXyy98PkJoGkF0HG07PBOpEngOd5fKuLfbhxsmEAQOV2vGmTbnob1H1w1hyCIqhoQgYkMbxytylFK0nRAJpagZykTPnwf7FnY6R2vxoO/jx8vVCzEdzfFm4b05EwmlaNshOI4RqusnhBH7UYK2EyCMKbONUUXs9f3UI22+rJ05V3Kr7eLh/pH+96Dv44OFYjq92rKDjGN6EBF8u93DL2/UM691b7efub8M7R6mTOZduNFyM3vMKKZNFdVVGV0vgiLyIAT4/Xr7TJ8jIfS5/lrHiR0AeAN5yesWxP9gr/42pI8bighDEeFHCf6w0UlP/7oi4OOlCjRZAKUUz5oO9ns+wAGLZf2lJq14nsMnyxUc2gEsP0ZJk1AvHJ2eRzP6RuGGMW7Nmmg7YSZY873Z4oll3vmyhq2Ol07+OWECXRZgjtzsKGWtx+OkalLFRBF4XJsycGgFmC+pmC9rY225aVM9k+P6KOoFZaxaMdzA3hXMlTTsdLyMCF2XBdyaNSf+nc9aFm8cI0FxQvCkYePmrAlVZNf5k4YNx49xY8ZMTTJHQQjFo4aFva6PhsU8yhYqWkaXd5a27+hn+flqHX6UQBZ48DwHSml6ACnr0nNbGl9td9EebMq7XQ89L8LNGRMCz2G5pqfmvX6U4MuNTjr6Lok87i6WM2QpiJOxww0h7LDxof7ikUEySBEQXqFBcI6zwQniQXakdOaDmiIK+GS5gjAm4DicSIqeNR18vdXBetNFTChqhgxB4DBVUNKf2el6+PxK9UxRZustB4RSOEEMnuNgKCKeNZ2UVB1f1wAjMG0nTPfPlh2MXdPrTRfTRRVFlU0Uv2ivFQU+c9ApqONu75P0uLtdb6ABZj6It2bNiUULVRLGgp45Dui6IXY6HnSFeSGe1fj0InARpGoHwNLI14uDxzJ4m9LHHx/YmQvEDRLc3+/jk+UKHjfsjEj70YEFCnpm7QjAiBW7gMf/r6iJE2MzypoMRRTws2s1NO0QMSGoGcpzNwdVEvDZlQo2Wsw7RZH4iZYQ+gT7iEmXLMcBFUNGraCgqIoXntknCTzuLpXxYJ8J1DVZwOp04Y0KXT4vSpqEjxbLeHpowxv4ed2YnkyoXgbHbwZOmICCVYooKJ62HFhejJ4XIYgJKgYzyRx9/adNB2sNGz0vAiVAP4iBjpeuhYIqnssza9hycMMYX212U/KjywLuLpfHTqx9P8JW28V224Uui7ADNnVqBxGcMMbNGRObLTc1TVxr2BkvoSgmuL/fx0+v1dLHwpiMTVcCOJUQv+dF+HrryCDYVEXcPYNBcI6LBaUU3++yljfADqMLZR0FVYSpimdq6T5vv3WCGGsHzPpkqBHc7rqpJms4hOQGCfZ6PpaqOgihOLB8WH6MgjJunjx8/207xHrLSbNddVnAjZmjStlJJG90mrwzIUPQi2I83Lfw/lzxpbRfd5fKeHxgo+UEg6GncRuUrhvi3ojEpu9F+Gqri1+u1sfI0UpNR8sJMve/ICa4t3tUpdtuu/j0ShUCz6FpB+h5EQxZnHgAvEhcBKn6PYAbHMddBSNT/xTAf3gBz3tp0XTG2X7bDkEIybQBhtgeuZGMghA2atpyAigiE4OfduEqooAb02bGg6igivCiBH/c7MBUJSxX9VOftHRZxPtzjL1FCcHv19uZxPPZkjqRtCxUNDzYO7qQY0LQ92J8sd4BwETqHy2WTk14/CiBwHMvLHuXdRk/vVZ7YZn4bcbLavZOg6WKhpYdpNeWIvIo6xIknkfPi2ANJlOVwfXVcSIcWkGmZXxvt4/HDStDOiiYBqOsy1isaBM3NyeIsdl24UcJaoaS+T5CKFpOCELZ6V4UeDzctzLkxw3Z9OvHy5XMe9ntemg5IbbaLqqGjKYd4GnThhMkOOgH2O/5+GC+iGtTbMOfZM9hD1qrw+uzoIhQJWFs6mlS5ifAyFacUBiKiHu7WYNg6wwGwTkuHvt9PyVUALDRdPHVVhfvzxUh8Tzmy9qF/G06bogooZng+jihiBI6Zg3iDaZlf/ugga4boaSLEDgeRVXEb25NQRoh4BzHoetHKaFKCEHfI/DDo9dZKGvY6riZcPCCKmau1+OH562Oi5YdIowpem6EpaqOW7Nnc35XJZbs8TzsT5gsjGKCljOeI1vWZXx6pYrttoeYEKiSkClmAGw97fU8dN0o83cdTUl4FTg3qaKUxhzH/acA/hUAAcA/p5R+f+53domhiDzcJLuJKhIPgEv1PqMYnf7wwgQ9L4KuCHh26IyIGtlN6dMrlVMTkKWqjilTQdsJoYg8Hh5Y2Gq7CKIEAu+j0ffxk2u1M5OO4WTKXs+HFyUo6xKmTqgoLFZ0EML8SyJCEYcEJe3osvLCBPd2+/jJyOl+Eiw/wnc7fVa2HpwQb84UXlh5eVcJ1XngRwn6PtNtnKQ/qBUU3F0qY7PtIkoork8XsOLrOOgf2SFIApepNNlBjOnBvyml2O15Y1UcDqzdfGgFeHxgY6GiZcr7bhjjH5610LSYdYIs8Xhv1sSnV6rwwgRfbnbgDQiUKDB91SQ7jlFC1HHCtJ0xDEDe63vo2GHaRpcEHlFCsdn24A7yLHVZGDPSlUU+c6rnOA53For4ZruXEqS6qYwdogihuLfXT7M5JZFD343H2unvos/aZcHodWT5EVqDr50gRlmTsdv1MFtSTyTMp4UmCRB5Lg2RBxjpoEjGDsFxQvC3Dw9TDdO3Oz2UNBElTYYbJvjNe9Pp+vGjBFOGgq4bYrvlwo0IFJFHte/BjxKokgBNFvDpSgXrTRduGKNiyLhSM9D34zR1oV5Q0nadFcRo2SEMRUijx7baLmaKp4vAoZTioB+kFaqFcnaYaLgXmYp04mThSY8XVQm359ln3znBUmW/66PrZStvXTfCft8fs0+5KFyIpopS+lcA/uoinutNwNW6ge93+pnHrtQMNs1hqmNeHsNpufWmgyeHNihl+Xb7PR8rVT0lDgmh2Gp76YUyfKzrhpBFfiLZUiUB82UNez0PTSvARot5TfGDFtxKTcdChZWP1w5t7PX89MZ2fco4kbScJU9tuXakG/v/1ppj8QuWHyOIkxPbGpRSfLPdS2+WhLCFayjCRD+uHC+PjRZryQ3JzmJVw3uzk0/fxyNZ2FRngPUmE6tXDRkCz2G/5+Og7yMcCFeLmsSyISfoKLwoyZjY7vU83F0qo2qwm8R608HTQyczoNGyA1ytG9jt+uk1ArDT/f09C5okjF1z6si1NrqpqqKAubKK+7t9tF1GEFVRgDww6xV4pBqWq/UCel4n02K4Wh9fM2Vdxi9X6+j7ESSBz/ivDbHZdjOn5TAi2O66uHEs6+1dmV69jBgd5Bm9nkar5j0vOjepqhUU1EwZ07aCna6b+hHWTSXVzcYJQd1UYPlxWgVtO2zYpOdFKGkSrCDCw30Ln1+tpu9TUwQUFQllQ0aZAxRBAKXA/b1+WrmVBB6azINQAaoooOOG+G6nl0lduDZlYL6k4eF+H0sVDRVDzlz3XTc6Fak67q6+02Hu6qok4MFeH99sd0EpUDakQUszK2nRZCEdRHoeThoWmzTQA5ycnnARuNz2rZcUcyUNssBjt+uDguWpDcuT782ZoKA4tILM9IcbxlgbmbqIEyasLWvZizMc8dtp2gG+2+mlguxqQcaPFssTqzN+mKSECmDJ5y07xGbbxUJFx6OGhe32EZtfHziYn5Sr97KQRX7sBicIXEacfBxWEGdulkM0rACLFR1BnGCtYaPtsODkKzXjlbW93jYQQuFGCRSRRxgTPD7IGoRutz3UjNO1ETmOSy05TE3EXtfH97s9rDVs6IoAugt8s93FpysVFFTmhTVbUtBxIngRG35Qj53EKWUhxpLAwwsTPGr0sTV4T0NECcV6yxm7rgBWRbg5W8CjfRtBzBzWY0Lw2eBGAxxVp4YoaRI0WUBRVSBwAmJCkFBgypBxa+ZIM1I1ZHw2qNgmhKJeYC3Df/P4ELosYLl6dB3yLxCaH9pZyQDHcShpUlpBYM9xNmuRHBeLhYqGna6HYFDhAZh21Rip5hoTdKUvg4+XKqgZCv763j68KAEHVrXyI4KqAfgRuz+sNWyU1KNKFAAkhE1AG7KIvheBEAp+UPlaqer4ZqsLRRRAKAEHYMZU0bKZQWZMKH6/3k4rsIdWgIO+h5litmqz1fHwq9Uaul6IzY6LMCGoFZR0UlyReBxaAewgQsdlkWf1goKrdSO9P7lhPOauHsYEW20XqiTg//puP63U7fV8BBHBnYUSWk4IN0xQ0SUslnUEMZkYBzeKgiJipaZjY6QFWC3IuFY30HY6Y9//Ki1PclL1kjgpWFUSeHy0WEacEHAcl15g3WPiP0NmhqJ2EGc24+FJhRAmmhydcGsPSNKkjVeR+EyPfohhf314cbecEE07ACEUDdvPLIKTQAhNRcovwkrNQM/rZto+SxX9uT8rnUC4hm2Wr7d66A+qDUFE8I3XxY9XKvm01AvQtAPcH4Rr8zxOrBR23PBEUtVxwkELkG2ay1UdPM/hg/kSTEXCFxttzBZVKBLLdHxyaGOj6eL2QhHKoFU2vDbDmMAJYpT0MPU/I5Ti/q6VBnPLgoC+F0MWjiqzAs9B4DjosoggyrbHZJHHtKlgt+Ph6+0ODJmdeA96AQSuh9mShqLKbBOGvjaHVoCqIWOpquHb7R7cgeZkpqhguaZjdkQXZqoSTFVCQij+9z/uYL3lgFJmoHpoBfj8au1UlYtJsVIzRRXvzRbT6b+FyukNgnNcPBRRwGdXqtjueHADBZosZOxmyrqUrpMoIbD8mB0UTllddMMYB/0A/OCwLYtsQm5YqaKU2XMc9Hx8uMjsZ2SRQ9MJUNUl7HbZOlIlHrWCAlOVoEpCRht0baqApaqGr7ZYO7qss4pW2ZDAcWy67nhLu2mHMJSsGXPLCvAvv9jBoR2g64aQBB4tJ8TNaROazOPhnoWuF+HJoQ1NEnBtyoDtx7CDGHeX2HsfPShTStGwArSdEHs99h4SQjAcdYoJ83q7s1DCZ1eq8KME3+308OUmI0QVQ8aHC6XnaoRvzJiYKanouRF0+ci4d6GiZbTO1VeckpCTqleE42Owx8V/HMdhpWYgGVSmOI5VwIbhm1YQpxYHo2g7wURSVdEVzJdV7Pd9EMJOvTNFNb15AUDbDTPxAId9dtO9s3CygHCtYafCxmpBxu254nM3kSlTwSfLFWx3PCSUYqaopOO8J0GTBdRNJeNlxHGMjPW8KCVUQ1DKxP85qToZQ/3FUJBKCNDo+yCUoqRlf28n+Zd1nBB/WG+jaYfwogSaJKDnRfjR0nDD5yGLAgSevcZWh02PUrDKaaPP2nW6LKJakHFzuoBnTRfbHQ9FVYTA8+m06RDzZRVrDRFumMAcmN4uVzVMFVUYsoAvvTDTHpgtqfi3T9uDtjoHJ4wREYKDvo9vd5jIWBZ5rNQMzJU0WH6c6h55jmNamZ6HhAC/uTmFW7PmxBH273d7mXzKvhdhuwPMldxTkarlqo62E2YOGzNFlQXuThgtz/F6oEpCWr2/s1DCfp9N3Jkqm7jjOA47XQ+P9i0kg4zUxcqLhdsNy8e320cttqdNB1VdQvNYBdMJYlCKdBhirqzh2aGDuqngxysVbLQcrE6b6TU3qdMgCnyGnB/0A6xOM32qP2Eq1VSkTIek64bY6XrpgVwSeJbUoUkwVQEAhyAmaA4GWdyQDXpUdRlfb3ZBKcWVmoGiJqW6sYN+kArRJYHHs0MHQUIy9ycvTNKK1MN9C4dWgJ2uB8uPIQkcLD/Cb25N43koqtLYweT9uSLmSiqb/lNE1I61Mi8aOak6I1p2gGdNB16UoKLLWJ0unOqkUtblDHGglCKMWYnTjxMsDRbm8I89DDA+LvQ96bU0WcAH8yVUDBl+xE4zssBjqco27Jmiigf7/fS1E0JRN5j+6+aMOfEEsNV20zYhwCpl3+708NmV6tj3jqJiyKlJ6Wnx4UIJz5o2mjbTj61UdVQMGd0ThLuTBgJyHKHjhpkJH4CVyI+LNnVZGHPYH2Kov3JGTpwdN8TqdAGGwqo/mszD9pPUGwdgVVgriNF2IjhBhFuzCuKEYrfnY6mq4VnTGZAmHiVNSklVQpg9wd2lEvoeM5/VZQEzRRVzgxHyn1yt4WnTxkbLhcRx+GK9DV0WU5E4pcwDiAM7uEQJgcizTfzza1XMlzWoEp+2QXVZxOqUCVHg8N5cMVNRpZS18dtuiG+2uyCUgOey+prTxuOMCv9jQjE1qPrluLzgeW5MzOxHCR7s9UEIRRgTCAKHrbaLiiE913dv7cDO7OXJQP4xGmtDKYUfEwAxDu0Ac0UVEs/j5oyJjxZLUEQBPM80TxRsTz+uJer7EXRJxJWank7JVnUZyuC+UTXkjAwEAOYramYN9fwI00U1re5wHCNGCyUNkiikOsnRAay9nof9ngeB59lEux3i/fkibs2aeLDfR2swMV/UGKmpFOTMvQVg98hpUwWlNK2y7/V8RAmb7vPCBHcWSi9lw3LWlITzICdVZ0DfZ74Zo4I+y4/x02vVUzHfjwYnn64b4dDyUdIk8BwPVWQtiUcHVmprMBSgP2s68CPG4FVReO5GfGehhIIqomkFUCT2vcML6dasiW93umjZNpp2AE0WoIg8FEk4kaBMCs/suVHmRHFREHgOq9MmVo8dREqaNHFk/SQikIPhuEt+2wlx0PdR0kQUFBFTpoKqIWOxop9oX3FoBxlCBbBT6W7Xw40ZE4oo4E9uTuOvv99HGDMdiiSwalPHZRuvKonp8/c8llH5/lwRt+eZdqmsy/hys4N7uz0cWkyIq0o8/uzOLIqqBFUWMidPWeTRcSL4YYKvDiysNx0oIj9wdWZrsO9FrDUichnBessOUVQlLFV0dNwoPeAIAovWON6iHhXZMsuIEFOmnBIrnuPOZDh7kmQgx5uDjhvC8mJsdY4GgqZMBYtV7URSFSdkoh4QHIc7CyX8w7M2KKHY6/nQJabxa/QDuGGM61MFZpR8rCV9EoZt5uMkYvj4tKlioRKmhInngTtzJSxW9DR1QR34FO4PtIQA0+gmlGLaVOCFCRJCUdYk9D02Jdno+9BkEQVFwHuzrHr29NDGL1frqBcUZsHCIdWnLZY1RDHBbElF34vQ92OUdAH/9mkLV+oGLD/Cvb0+4oRAEgRECSsE7HTcc3nb/RDISdUZsNsdHxF3ghhdN3phZcYOWKwMoRTzZRWHdjAm3t7v+Smp6jghdroudgYJ54rERmGft6AEnsP1qcLEWASB5/DxUgU7HS+dqEso0PNDBBGZWAE7iSi+wsrpxPdwd5nFkvS9CKLA4UrNeGk39ncFZV1GcbDpWX6EzbYLgedQGzg2hzGZOMkGsPHk7baLjZaDrhuipEmZCmoYJ/h6q4uWE0AWBPw7H8zAiwiuTRloWRHsMEbHYbqo63MG9vs+/JAJsmNCsFIzMlOdcyUV3+/0BqSMx5SpYLvj4Vc3CmNE56Dvo+uE+JsHDfhRAi9K0HVZcPhyzQAhrGorCRwWK3rm8w3d2/lB1I3lM+PSsiaNtfycICuyrReUwRQrgSbx4Dngg/niRFfoHG8vRJ7HestJTTsJZe214+7emZ8ReOiKkPH9A4CiKuLuUhlFTcKXGx3EhMXV1HQZvSBCnFCUdfm58ozjGLba28diXBZGKm7vzxWxUtPhhgmK6pFr/JCETRUUPD10YAcxDi0fhixisaJjpqRipWaAAnh2yLJhdzoeWgN5QEIZ0bq3Z2GpokNXBBDKDkI3Z82MrslUJfzm1jTKuoT/52EDssBjrxvADylsP8LD/f6IDpkd4msFeUybfBmRk6ozYFLaOMAY/PPQdkJ8tXU0mr3d9tAPIhSVyQTp0YGF73d6eHLIyqOqJGCpqmC362O5ZrzQ0dbyI6ZpGgQcD0/TusLEe8PRXFMTsVTR0bD8TPQGSbUCGjrHPIDqpvKDj30XFBGfX60iSggEjnulbrhvEz6LfOKIAAAgAElEQVReLmOj5eCLje6gPaGkYnV34Jd2vCS+0/XS4PCpgorHDRsdN0TVUKCIPFbqOnYHYa0A4JMEO50EHy2W8MF8Eff3LBz0PUwVFESEwBrkmFGKtM13+1igc8sOMVfSMFcCKCjcIEHPjdB2xgX0fpTg79aaqb9bQigIPRoznyoouDZloONEmcENXRHGiLipSjDBKtCNlgOe4zBX0qDJApwwe5OcMhXWjgcjgYsVDdenXuyjluPtAs8xcm6PECRJ5PCiJJlbMya+3u6m9wBR4FKd00eLZaiSgCcNO63q1gbX/bQ5OW/yefhwoYSnhw6adgBF5LFc08cqpLp8skcdOAwODwIWKxq8MEGtIKFmyEgIxWJFQ5wQOEECUxNxpc5Clv0owbOmDUUSkBCKkibhyaGNmzMmbs6YSAhFw2I+bWxIw8SjAzsdIIkH1TrWtmQmwUM9rSzwUEQetcLl19G+U6SKUgpK8dI35dmiOjYiKov8C300njXtsTiZMCKgCk1vTgDzjnLDGJstN+OjwYI3Q0ybKjrO8wNou26ILzePCNx+z4c9xcrIssBjoaxhvqSCUAphUCkbntK9kMXttO0Q0kDXdHu+mE5/TZvqWHjmD4mzhou+65AEHqvTJvyIZDySnofRQQZDEXFnvoS9nocbM4U0fHg0HZ6Cwg4SfLfbw69uTOHuUhkJKQGU4u+fNPHlRheywONa3Uhz/9pulCnhD/+uQZzg6aGTkiFdFvGrm/WsWWBM4I60ggWegwC2NhfLGn59axqqJCCMCTbbbB2ZqnjiBOpez8t4zm20XHyyXEFRlcY0jfWCgluz5qn923K8fRAFHlfrBlpOCDtgViVTpvLCEN9aQcHPr9dxaAUDP0Mls5/VDBmbE/a3snZ2EiEJPG7NmriFs7meD3HQZ8NQUUKw2/XQ4SLs9ZhZ7z8+a6OgCpB4gWXteREUUcC0qeBZ00GYUCSU/V4WKxo2Wy7myxoKiog7CyUQUsxMkk9KIDnoeZgpqbhaM9B0AnghgSCwCtqt2SL8KEHXZTm0J/lTvU68M6Rqs+XiWctBNMgpe3+ueOY069pgU33aZM9TUFm0y0lRG48O2Njp2oGFmsFMEdPnMmQsVXU0+kF6+l2dKqQROMc1Md7gRqK8IIB2veVmCBylFBtNBytVHfUCywDc7XqIEoKiKqGkS5gb6JO+3u6mIsQoJlhr2LizUMJCWcNGy8Vuj/3cScL2HEfgOO7PAPwzsJSB/55S+l+/rvcyX9bGSJV+woZ0vBo7V9JQ1WXcXS6jrMsglOJ3T1rpVObaoQ0/JJgyFSSE4kdL5UFFiMNsScOdBQpKaaaic9z6g/kDudjueun/UVA8aVrY6zOzwOtTBeZ6HhPcmi7gYDBZKPI8qoaEkibjZ9ePCJgs8mOTUX0/Yutfl9MQ5lHvuOHnf9K08clyBTemzUzMTsWQM22UNxF9P8J2m63j6VNM5l4kLtOaeFlIAgdB4FE1ZJgKRd9nwxgzpxjRZx0HRsj9KMF604ITJihrEhYrGubK2UP7YlXLdBB+CNh+hC822tjv+RAF1uYeTgv7MfNCrBeYFpNSIBh4bEkiqySpEo+KLuHOfCm9L/YH1WpgvKChDSwpRjWzksgO/2FMU8mAIgr40w9msdf1M2uybir4aKF0qboX7wSpavR9PDo4yqfrOBG+2uzi56v1Mz/XUlVn5U9CT6ycEELx5WYn9QPhOQ7PWs7A44Nt+v9/e28eIkmW5/l9n93m9xX3mXdmVdadVV1dPdrZ3Z5lR1LvDBJaIQ0SrPaPQaCFXZBYaZh/9K9YEALtgtQIgUADK4E0Gh27zPaAhNCMptXddXVlHVl5xx1+u5uZ2/30xzO3cA/3iIzDPcI98n2goMIjw+NFhD2z3/sd329al3F3PoO78/1f2z0h5xIK9tvOwaldZqaeR9nFdDFsDx3PhyQIzPcoSp/mEgruzKfhBSE6XgDLCeD4IW7OpSLHb29A/RoAvtpqoNc2ebfJlLPf7/FV4/RDCBEB/BMAfwPAJoBfEEL+V0rp15exnkJSwZtLGTwrm7B9NrV6dz4ztHQ1l1HxvNLvobWY17EU9UB13AAvqxb22w6+22vDcn1kdRn5pIzHewZUSUQpyQxLi0kFL6tW3/chhB0oekmpEt5fzePJvglNFiASgrbjw7DZdbpZ68CwfTxYLyCtSdAUEXMZJirqR6Xqv/HmbN+hpRc/CPHFZiPOsMmSgPuLGab87g1O73WnGFeLzAaqbrnQZfFUE61Vw8F+24EcZYdHPdhxFg5nsctt1gt0e+5sGY3TMGl74rRQytT7txvMa+67vTYsJ2CWLqqKr3fa+GBNOlFrhOuHfQKclbaDiuHgwXoBK4UEjEjCobd/llJWGmtYHpIqG2IadeY+CCn+l8+3UW6zLJwXeKhbLu4tMD/Mrt9n76FoPqPDcDzsNG3YfghREKArEiwviAOplHZ0mDGXUXG9lMRmowPD8SALAt5eLqGQZP1TxZQCP6BYLmhYyGr488eVvuxxpe1gp2VP1GHntQiqdoaUPro9JWdJHxJCIItHR8YV0+m7WS/kdFhuwG7Oig5JJLh3hDWIJotYLyXxrGzi1mwKFcOFKBJ8uJ7HevFoWxkgkkCoMjuMmuVCEggymgxVElAzXfw/31cgCgQrPU3Cey0bt2bTEAiBF4aoR/1W2YSMhCyharp96tYAk1boVYLmDPARgMeU0qcAQAj5pwB+F8C5HyCG42M38tSby2onFotkPUuvvvFcL6Xg+KxcSCkTyus1kX1SZn59+y0bnh9AAAEBQUIWYboB6qYL0/WR1mQUUyrWS0l8t9eC7YZIa6ycOOy6ySUU3Ftgqf0XNROCy67zbka0YXkot2w8K5v4eruFpCJF6uwEt+fTmM8eXZJ7XjXjgGqvbWO/5eDLjQZ+41YJkkj6BHYBtge7497zWe3UHmHPKiaeRBkwPwzx2cs63lrK4tpM8kgB1ovgxaEsNsA8O6+VkhdRWh/ZnrC9IA50L2pMfr/txP6RAJNEUCQBS3nmrtFxA7ysWScKUA8LcHadDjRFxN259NA9/eVms8cnlpXNPrxWONPfjU0CszUUkirmsqzXcqfRwV7LRj7KjpUNG37ApFKWsjpaNttDXc3FIAyhSAIaDQ8JRUIxpaBmesglZGzWO7g7n8ZC7uh7VNdDNAiZOfr1UhKFlII3FzNQRKbY/rxqYr/tYK/lYKdZhuMFAxWmuunyoOqiOcqQcWw9pof61hWRmcJmEjKuFZMopo5vPrwxk2InZJPdOEop9ZXpzbbNfKBKKQXtjofnVQ+UsixAN+W8UbewPmD0yrIPggBs1iw0o9PIXsvBSiExkFXgnIglABs9H28C+MF537RqOH3Nri9rFu4vZU811v8qumrpd+bS8eROL60O87eby2poOh4MO7oxUgqREFDQOGiilML2AgiEQIrKbTXTiUuPhw8IM2kVv3pRQ9Py4pJh92fruD7+6OcvUG4zAduK6SCtybg2k8ROw8avnleRujM7IGzKfm9s2KJqutisddC2PYQU+HanhbmM1mdsa/sBzLqHuulCIARPKwbeXcmf2O/ND8I4ILM8H0/2zdivbavOekUUielzzabVC210PyxLArD97/rhRQRVI9kTGzULj/YOyj+FlIJ3l3NjL/9Ue6bpHC9Et0puOj6UKLBr28dPpoUh0196WjZgOj6SqoRmx8WLGgt2CQGel028v5bDQlaPr42m5aHcdmD7TA8uIUuxtMlh4+7joJTi11tNfLfbxssaE3QWRZZt+tHNEtqOi4blggCwHC8Sx5XRjpTSM5qMQlLBTFqFH4b4ft8AKBMPrpseVJngr96ZQavDvF7fWh68N3XcAKbrQxUFfLbRgBtZ0MghwUxajYWFASaA+umLOgwngCQSZDUJLdvHvfn+lpthXpuXyWStZgw4fgAvCLBRs5CJ3L0BZjMxLkuIrC5jv82mGGSRmSxno3LfSTNjw5Rhj6MSbXpJEHBrLh0JEzL5hm4adtjFJ4oESVXE1zutqJnXjqULFEnAnYUMvttp931NPimfKEsVhhQV04EXsJMIz2z1Qwj5fQC/DwCrq6uv/PdPyuahfjmmeD+KoKrjBmjbHlIamwoapioOsGvIcgNkdRk5XYHldECAOHC6t5BFEFK8qLaxWe9gr2kjn1QgiwIe7Rv4aruFe/MZ5BIy3l3NxafOp2UDGzULuiyCEKae/PZyNs5EvIhEMxuWg5bNyttNy8PjPQMvBCY2uN108IP1At5Z6X/IsvK2j2dlAw93Wui4ATtQEYq27ePffLACy2O+gX/+pALD9iEJBAtZDcWUiu/32vjB9eLA78L2Auy1bISUlTESigQ3COMAbbtxoPPTcQN8u9vGt3tt3ImyGbMZFW8v5wbed1wUI1mIXnRFHHB7uEyO2xOOH/T10wAsa77V6Ix9eEDr6WVVI0mNkPb3vh4ndxNELSFNy0Oz4+FZxcRMWkGj4yEM2c+2WesAhGVT31zM4t0VNhXYtF08Lhtxe4YgAHldhhh5cZ40+1k1Xew1bVbCDCh2mkw13XIDbDUsyKKAesdDueXEZUZJJPhgPgsQ4J2VHH7zzgy2GjYe7baR1xUQMF9O2wvRdnyIQhP3F7NY0vWB+9J3u21s1i1QCuy0OpAFIR5YkQSWmepqIFJK8X9/X4mnLP2Aomp6kAXWGtB9jmqyeGyWygtCbNbZQSqjsd61o+5to+JKB1W2F+D/e1aD67PSw27TQccL8e5KDrfmRmsk3MvDnRZSqoSmxU7yXtDBmwssoPKDEJ+9bGCzYSGny3hnOYfCCMTMDmcUFnM69ttMR6jLe6u5SMTQRsv2oYgEH10vQBIFGI4PSRQGxEVnUiqCWRpPAM6k1VdaMgDsJvGrF/VYm0UQgDcXR5tVmWC2AKz0fLwcvdYHpfSnAH4KAA8ePHilRPzhMX+APay7hqpn5fF+O+6j8oIQc9HDftjN5/pMEnXLRS6hsCCckFhD5qNrRSzndfzlkyr22w6eVgx03ACzaQ0dL0AtCrBBgfVSEvpuG++t5qNRbJbdSWsy3lrKYrfVgRcFJGlNQkaT0Ox4CCiBJBJ0POZIYDrsgCQQwLB9PC4bKKXVvofsejHJNN8andiPTJdFNC0fZdlBy/Ewk9LwzU4LVvQ79kOKjXoHCUUamtFuWh4+3ajHqvXPKgbeWsqhlFKY16EX9nmfhSGFE3ZV31kWbr/FfNUuqoS1XmS2T12ZFEUS8Obi8N66MXDuPdHq+APlS4CVhleON3k4N71my5IgYCGro+V48UE1oYhYKx4d2G03OmhGGktd6Y/dJrONUiWBda1GfwbLCWDYzEfzzcUsaqYb9/mZDlNbVyUBKU3G//ukivfX8ic6gLc6rAfRCygMx49taFqWh62mjXxCgS4LKLdtAAQdD5hRVewbHuZMD5osgEbLDCkrf241OsgnFOy2WLuA6QSoGA7uLmSw3eggpUnIaMwns3ey2HZD7NtOn04WwPwRdYXZYbn+4B87oYqxlqOusIDqqKGpIDKP7j6D9lsO9lo2PlwvDNwvTcdHQOlIEi1XOqjaqFnxH6ZXYfbGTGpsvQ2m46NmuEgoEm7NpeMbqBspwjJTVgtt20ez4+Kff7WLn7y9iI+uFc6VyZlLq3ga3cwB1guiySJmMyokQcBiTsO1UhLPKia2GxYkgSCpStiq25jP6Mjq8oA4nSqziY71UhLrQ/wGj+NF1ep7vzBkZqEzJyhljhIvCOEF4aknPc/JLwDcIoRcA3tw/FsAfu+8b5rT5b4yBBAFFOf4fTYtLw6othsdVAwHD7dZluWD9fxAH1Zak/Hx9SJ2mzbWS0kUkjJ0WYobsb/fY9kYw/ZhOkx5+tFemwVCbghVJMjoEp5VTARhiPdW82jb/oCo7nxGRyml4N5iBqrEpoO2GjYEwrJlFD48X0BaZwGXHN1YLZfJj/QGVdmEjPViEjMZ1nSuSgcmuEQgcP0Q5TbzMdNlEWbPddu0PcznBg8Cj8vtPhugMGQ/+0y6hHsLGfx6swk90jPSZRGaxLIAqiz0BTGmGyB3QQoNkijgg7U82jYTlsye89o5JefeE0n1aIuucXNgtmzBdALcnksjm5BRN12osoDZtHZsS8fhDOFSnl3fdctDNiHhu92DKdTuz9MVujTsgMn5NDuxf6RACFKqCD+geLJv4L0TDA6lNAmSwPqBewOWesfDwdKZNY/jBxAFZmpueyEeVwx8v2/AdAK4PstKfb/HphcLSQXLOR2G42OloEMWSdxTCLBn0WFD8ZTKDkltx0dRYs9lUSDxsIkgEBQSSuwvePC7kXB3Pn2i63a3ZQ8809q2j4rhxAr1XhDiy81mfNBIKCLeWcmdq6R4pYOqodYAOIiGx4F/aCS9ewP1wxCbdQsv6xYs14+NNL2AZXQUScDHQ0oMJ0USBXy4XsDzqhkbgP6V28m+QM31Qzyvmn19Jx2XlUavl1LM/sM7yCz1ehGelmHKt16kMfQq8dJRQCnFt7tt7DQ7CEN2wnlrKXtsin6E39snhPw9AH8KNj7+31JKH573fW/PpfGpczBVKonkRFnD46hF3oqtjof9nkbYRsfFNzst5BODZdvuMMUw9lp2XKZgfl2sHGa5PmRRBEXUGC4D9egaSWvSUJ/LbEKJDz8P1gp4XrVQMRykVAleEEKNMrxJVUIuaq7VFXHo3i4kVby9mIMfULQ6HtNpIwQAaxJOKCIcL8BiVsfTihmX7RRJwK1D0gy2F2CnYUMSCSRBQN1yUTXZzX8pr2OtmMRv3CphOa/j650WErKIRsdD0/EGShWXobNzEXvgMKPYEwlFwmJO72sYV+UDf9NREIYsK7/fdiCJbKinK0DLzJbTMBwffhACoCgkZXgBRdV0UEwe3SubHjIBp8oiPr6RxrOKCUkg8EMKSSSxBVevPMhcRkNak2A4AWSBIKFKsSNHr6bhMBqWixdVC44fwAlCLGSZ3qHhdD1maVzG1GQBSVVCw/JQSB6seSal4uvtFmZSKiSRySYUUyp2t5vI6qxd4O5CGhldRt3ov/fvNu0Ba5liUkHL9qBEA1+CANyeT8e9fRlNxlxWgxeE2G3ZcP0QSVXCX78ze+KDwLAeQuBAnghggze9AteWG+DrndYr/W2P40oHVbmE3DcxAfRHw+Mgo7FTe810UDc9EML0bWYzGqqGgzAc3AQdl6V7W1Hd96xosoi7R0wVAiyYHJY+bzssyPzhjSLKbQd+GKKUOp9yekIRYzXcLqJAoomt8bNZ7/QJy1lOgF9vNs8ko3EWKKX/DMA/G+V7JlUJn9wooWowbbNiUjl3f0C3n+bwSVqVRIQhmxQ6zfRbbwY4CCmKCRmWF4JChEAIdFmE7YVIKCGS0ffWZFY66ZVySKhinwVMUpPwez9YxXurOfzqeQ3Paxbqhou240OVWe9HShUxm1L7pluBg96nnRabmszpCtrRGDgIczBgJcIOrpeSuLeQRsNiDfl/8/4cUj3OB4/3DbyomthqdmDaPnRFgun48IIQluvjf/tiGzdmU/jN2zO4NceEQvdaNsKQYrWQ6Ps9r5cSF3LAmBRGsSfuLaSjKTM2xLN4TPnnLHy72+4L2mqGi7dXsphNa5E0RxN7TRtPKyacqHE8qUi4VkpCV0S8u5IbKOfaXoCq6eJp2YAf0tgIebmg4+ZsGgtZHQlFwkbNQi4hQxIECAJwLTq4rBcT+HKzySbskgocP0QprYAQgpBSGLaPnz+txkFgr09g0/Lwqxf1+MCiSgJSqoZ7Cxl8td0CoRRbTRtNix00slFjeimtxK0aGU3G7bk0NupWFPgBBEwRnlLWerCc16FKIlq2N+CCALDgt1ePShAIPljL4+ZsCrYXIpcY7NN9ZyWLhCLGLh7rxf6f7VUUEgqewRx8vWfopNJ2Bz7ftJhR+lmHN670jl7OJ1AxnHicupt9GeekCyGswfWLjQYsN4BA2FSHJgmYz2hDA5WZ9Ph6KhqWG0tKlFJK36RTl0x0ihIFMjKj4mulJCqG0zeufq2UHHuTYJf99nAZjbbtXcpJfVSIAjnVjeVVzKRUpDUJUo9EiK6IyEUHD/WUD6xbcyl8sdlAw2LDDoIoYD2jI5eQ0XZ8tG0XIQ3hBiE6Xoi/eFzBW8tZ3JxNoxRZKGmy2DeV96xiYL/lMDmQgo5bcxmsFNgDp9Vxsd20IQoE12dSWM7rfXInlLIGYcsJcK2URFIR8d2eAVVkJswZjWUaNuosoBJFglbHhxuEKKUU7LccJEsSCCGomW482beQ1fDEMfHdbgullIpy20EprcD2Qny700ZCFvHJzVIUMLK1XptJxZITWV2e6uvwsuhOhI6jN5NlRQYVvjdqFmbTGp5VTNRNF5sNC7YXoGzYcLwQ8xkNv3heQ0aT8aRs4m+9s9BnifTZywZMx4/uiS626hYKiWz8b5KqhB/dLKFisJ4fUSBYyunx9TGb0fDeKsFWowNRyKBiuMhHgdte20E+IWO3ZWOvZePPH1fxznIWH10rQldEbESN4fHvL8oU35xN463lHGqmi+/32ii3HYRgWdzFvAZFFLDfcqHJLEsmiwIKyYODtheGeFEx0fECrJcS8EOKuzMJJBUJX/U4FHTJ6jKuzySxUevAdHzkEjKWj3A56KJK4ql8Dw+TTypYKybwssZ+B4SwZ1DvvlNlYSCjJYokymKfjXMFVYSQvw3gPwVwD8BHlNJfnuf9Ro0oEHywVkDDco+MhsfBbtPG7bl0n1fdk7KJD9fzeLCWg2F7MB22eRdzGtYKybihb5TstWz8erMZf7xV76CQZKe8LglFxGph9NYzSVXCx9eL2GnakcWNemENuQAGzKq7vG5WN5RSlA0HTctDQpUwnzno/QhDCtP18dZSFsWkir94WoEUiXYSwjK6J5US6JJLKPgrt2fwaLfNTtQpFRIRMJ9lD6WQMoV1z6cgYKPqv95q4pMbpb6+xy7f7LT61OA/f9mE6frxQyWjK6hZHmwvhEAInlctlA0XH67nIYkCGpYX91Ww3sIEWnYAzw/QK09lewF6u4WDgGK7wQQNAeD6TApV4yDrnZAl3FtIw3A8iALBYk6LbZ+CkMLxQ+y3nYFyXz6pnEpElHNxBCEdmsnvNnRXDBcUFK1Idsb2Qng+my4jhJUn66aLz1408PH1IrIJGQ3roMncC5j3nRdQPKtaCChwbSaJGzOsvFxKqQNlsi7FlBr799lewIIgynwv/YDi+7IRH5a/3mlBFAR8cqMINwjh+iGqpgMvCJHVmftAw3Kx3QxAALy9nIPp+thr2ZAEpr2lyyJ+vdVEJar0qLKAv7Y6g6cVE+WWgy83G2h0PFwvJZFWmTyK5YS4MaNju2n3GTqnNCk+JB12ORg3N2dTyOpydEgarL6sFRP40mr2vbZaSJyr1/C8maqvAPzrAP7rc77PWLnIhzmlNO7l6n2Am64PQgg+vlHC3YUMvtxsoGX70GVmcnz3nL0xw3hyyIIDYDo8H98oomo4sWfTuJpVNVmMU9gXzWohMdDkOJu5eDPoy+bhdn9QslGz8GAtj0bHw9fbLbh+CEEAVvIJ/O0PVvCiZsJ0AuQSMlYLiTP11N2eS2Mxp6PV8ZBURNh+iLrl4s2lDP78cQXPKiZUlfUZtWwPQZiC5foDwwReEGKv1Z9xlESCunVwUrdcHw2rX8TXdHzsNG2sFBIIh5idyxKBLEownIMGeVEgoGGIb/baaNoedEkECEHVdNFxA7RsH5t1C62Oh5kU05eSBAErhQQcL+wr62V0CQIhUd8NZ1rQZBFpTRoohR/0VAkwHQJZIvB8Ckkg6AQUknBgHyaJBAJhxuTZhNx3/9k37DhAo9EnXlRNrOQTpyphdu1ubC/A93sGapbdV30IQqYPVzGYJtx3e+348zXTQ1Z3gXiOj4njvreSx5uL/Vmhd1dysFwfnk+RUkXULA9zGRXbDQtOECKfkKN9wSQtun3C7y7nsNuy0bI9JBUJC1kWUHV7ehuWh4TCng3j1Jhqdjx8tdWMJVSaWW9A42o2reH9NQGbdQtBSDGf1c5t3XSun4hS+g2AixrJnQq6J/zD/US5nps+O83Pjn0tnSGNenbUKH7VeznySQXvruTwMpoALaVVXDuFUN5VoNnxBjz/DJtN5D2vWvH0Whiyac1MpKU2CnqvsSyYK30YUnS8oK/vKqTsYTMssxiEdKB5XSAEMz2lFdsLo5Jo/wm/27eYTxxIHHSZTams19FXItsRiqQioNXx8bjMmtQVUcB8VkXHC/HpSzZuLgkElTZzE+hmd2/NpiAQgr94Uo3EdkUs5xMghPVunFfugnOxvLWcxZebTRi2D0LYddu9b3QPanNpDZv1ThzY214YD//MZzSQSAQXQFwdsb2gr8zU/dowZPfps/SFabKIbELu6wEDDkyY/ZDC80PkdBk1i00NqpLApBUCGpf8w5A1bD9IDjZnJxQJBvXxF0+rcLwQmw2LZb0VESQKymqWi7mM1je5t5jTsYiD4KRbhu8OsbQ6HiqGg4+vF8dy0KWUxgEV+xjYadhIqzJWD0lfFJLKqTPyxzFVT1YvYDYq3emDSQ3m7syn8dnLetxPpEhMkPOiCEOK/bYDw/Hh+izl21WVv8is3bgIQ4pnVRN7TRuCQLBSSAwVgOtNmb+OmEdMBe007D45gC7ltjNWHTE3CFFIME+v3mAppUpDHyqaLCKXkAcmSd9bySGlSdhvOZhNq0iq4oBESncaUBAI3lvN49udFhoWkzS4u1BASpWwWe/g5lwKKUXETtOB4XjQZZHtmyBEw/LgByFS0cOCCeumUDEcZHUZxRQzRZdFplv0/X6bPWgIe6T+/GkNokiwnNNxczY1sfcrzgEJhbUtdF0mutfVs4qJF1UTlhNAFAjeWspAFAQkVBEPt1uQBIJcQkE6Okh0sx2EELy7msO3O4rqlTsAAB/BSURBVMxayfHCvgBEFMm5Drj3F7MwHB/7bYcdFHQFsxk2hVhKqdiOhFHnsxqCkGlifbHZhBuEff2tx00Qfrfbig8lrh/CC1iZtPvllLLXj9PpqprugLesH1BsNzq4PjP6kqDh+H06cV3Khj0QVI2aV/41CSF/BmB+yKf+kFL6Jyf9RqdVjz5M1XDw5VYzfhikNGbCOsrJj5MSRiauR90ks7qM37hZQsVwQQirlR/XkDdKKKX4fLOBmuFCFAh2mjZqpovrpSR0RYrVnKeZ7/bafZN932yzxshJ8n+aBI4a1y+kFFi1wYbcce8lTRYxl9UAQlBpOwhCdsJ/e+XoZtT7S1k83G4x2xiBidquFVlZstt/klCluIEcAIopBXM92ayUKuHBemEga5TrKSG+rHWgSAIWshp2mjZMh1ltZHWlTxC3G0C9uZTpK1eul5JYLSTg+CG+2m7GQo9BQPGiakGRhFNZinAul15Zjp1mJ26lSKoSkmDPn64EztvLub6g/fpMqi/z0b3+3lrK4rONRhxcEALcmUuf69mgKyL+2p1ZrBUSeF5ljgsJRcSd+TQUSUAuOsTIooBuQiitDRo/HzcR33uoSakSWh0fssgOs1WTecw+uJbHcv7oYMU7ohTuDTncjYKjemcvoqf2lUEVpfS3RvGNTqsefehr8fVOq+90bdg+nlXMc+v0nAbXD/HtbgvltsPGSI85gUqiMLJJutNQNpy4SVCTRNybZ7oqq8UEM06+wFKE4weQBWGk3zMImb3CYTZqFg+qDpFUJayX+qUKCikFt2fTMGy/72YpRmPR4+aNhQxcvxGf6JOqdGzzqiaL+GAtDy9gjei9D6Bmx8NGjU1iLeSYjk9alY9sBD/qOlQlEaJIEATAWikJCubhl9XloX14SVUaKiYrCASCgDig6mW3afOgakrZaQ5OEhu2H08SHxW0H0aVRfzgWgEVw4UbhOe27nL8AC+qrM8vpUn44fUiBIH0ZW3XiwnULTe+JkWB4Mf3ZrFR78TPU3mIFlsvuiLGwx6llIq248PzQ+QTCoop5UROGcWkCkHAwCDAMPmFUaDJIuazWl/7AyEYcAwZB1NR/ut4QV9PRJe6NagxMU4ebjdjRevuCVQWhVOrjY8T85CCLCEEaU2GIokXFlDVTRff7LZgRUaYN2ZSI/PmCunwCZ0wHM+JZ9q5OZvGXEaLm0O75dB3V3J4XrVQt5jez1oxMVLV+brpsn62aOpmLZqoySUU/Eu3ZlCLTri5E5bxD58w27aHX72oxddCw/Lgp9UzTbKKAsG1YhKP9w2kVQlvLKRheQE+WGWn7693WtiLbDgSqoi3lo/OrBGQWMjU9nw8rbDG/2ulJN5dzY3NyYEzPo4arxcOvX6S+ysh5EyBhB+EKEeN4KWUCoEQ/Op5PR6KakSmy4cFpCWRZV8N20NAgdtzKSzlE1grJrHfdiAQxIKeR3FjJoWvtpqxkvvNmRTWS0mkNQn5hHKi7I8iCbi/lMW3O224PuuDXCsmYDo+npYN1sbRI7Q6Ct5YyCClSqgYDmRRwFoxcSHtL+eVVPjXAPyXAGYA/B+EkM8ppX9zJCvrQRGFofpKF2kE6gXhgEUIwE4xkxRUZYYo9x73+qhhAnmNuJ/MDyi+220jpUojGSWXRQHFlDLwtxildtNVI60NaiJJojC28eaG5eLTlweCg8wD04+DEVE424Oll5c1ayC4LredoVOEJ6H7kNhvO5BF1mjbfZ/7S1ncmkvBD+grp5UUiVmWvKiZ+L8eldFx2SIdP8SfRpZUvHF9uljK6wMi0vmkPNbJtV7atodPXzbg+QdOCotZfcAxxPFC7EZTr12elA08Kx+Uxr/ZaYMQdn2fNLM/F+krdrM+CzntTPI/s2kNpaQKywugSgKeVUw8Lbfjz9cMF28vZ0d2LxcEciaLtfNy3um/PwbwxyNay5FIUTaoVyJAjH5hF8kwK41J6z0tptSBtOd8Vruwhu2a6fYJfgLMome70RmZPs8bixk83G6hZrA+m/mMjusTFNheFXqFNyWReUWqEhs7P87DsSu218tey8YtLzWySZ9hZqvd189yGKWURuWM4ftElUSc9Bn6xmIGv96sw/VDKCKbBk6pEp6UTey2Oli8KLM/zkgopVTcX8riedVkk8QpFbfmxnMgsVwfey0HBAf+rY/2jDigAqKD6l4b+pC95Pb0LlFK+0yMAZbpf1G1YpeEMKR4WjGx37YjiRB9qKQA07c6v46iILDG/CCk2KxbA59/UbOm/oA8FeU/oKuEyiZ+FKn/JHkRyCJTlj08oj6JfTz3l7JYzuuxB+BFTvz19ry4QYiXNROGHaBiuHHt/rxTUKok4v3V4X02nNHx9XYr1ol6WjHR6nhYj1Lo+aSM91byQwOro5pS3SA8d1Dl+iFsP0AxqQ5kKxVJONMJujvZ5QcUxZSCewuZc61TFAhSmjxQigxCioblYTF35rfmXBLzWW3sPbLltoNfbzXiDOyzion3VnMD8jwAIBAWNB2+l/aKh4YU8QG3ajjYbTGdrFxCxlvLWaRUCd/strDT6D7TAjzc8kAwOmeNo/DDcLjQ6hGHpbNiuUyL7qKyisAUBVXA8YqzF8G9hQxkUYiUZwmW84mR9QqNmmHq1KOg4zI1X1EkmEsP1uILSQUJlTU2vqiyfhKBMJ2ul1UL6ginoF43dfSLxPGD2OqnbXvxjb1iuMglFNRND2VjuATDTEqLraG66IqItCqhajixFc18VjvV3/BJmfnudce5VUmAG4RMf0cWcH8xe+rS2laj05cBrxouvtxs4qNrZzdUBdiU4qO9fvFdQcCxE1Kc15vv99t9gUYQUjzeN5BUpYHAKp9kU6nf7xsIAgpRYL2rvdkkUSAopBS8qJjY6JmWFgWCz1828NG1/ECSAAA26tZIgirXD7HT7MCL+ip7n0eqxDS2Dg91jKqnyvVDpvoevX9Gl/H2cvZCxJ+nKqi6bESB4M58+lQTh+U283MihGW1xp012m50sNXoMHXYjBaPn4+C3aaNh9vNuLTzVBbwwVq+L2NICMH7q3l8s9PCNzsU6ciioHsx77UcPgU1BVB6UOruFZHtVShv2z7mhmiFrhR0GI6PnSYzME4oIu4vZyMz4oOU/8uahQfr+RM1b1cNp683JAgBihAP1vIgAkFalc50nQ97qLQ63pl7s7p0y0UbNbYXJZHgh9eLYzVz50wvlNJ4wq6XtuPj7aUsvtg8yGARwuxXZtMa5jMaLC+ALotDDyhvLGTwuOfQkNGZwnnX5HmI4cBA7/JZsFwfv3xej8v0zysWbs2l+u79by5mYqFVgAVUo9KserTX7ptubnU8fLvbxrsr408T86BqjGzULHy3e9CIt9u08dZyts9sc5Rs1i18u3Pw/R7bBtwgxO0RaFOFIcWjvXbfJnS8EE/L5oDppSaLeGMxg9qQTSsKbMPtNG2EIcVs5NjOmSw0WYydAXqDi66oJsBu0MMghOCNxQxuzCbj5m7bC/DyUH9Hxw2wUeucqGG+MmRIJAiYyO16KXnmg8NRX9ZViz4rmizid95ZwmbdQtv2sZTTURrT+Dhn+iGEIKVJAwKZGU1GMaXGPqqUslJkVzBUEgVkjsn2arKI+4tZJBURhBAoPf9WP0Jc9zwCwI4fwI8m4w/3PT4tm1jM6XHw1xVatVwfAiEjzSKVDWfgtarhDC2ZjhoeVI0JSime9QgSsteAZ2VzbEHVxhBBx616BzdnUueeOHL8cGhzcMserPcDiHwFtQHvtrQm4edPa/Fp6EXVwhuLmbhxkjM5vLWUxcNtZjZaTCrMIiYqv8+k1fj/j6K3udvs8dnr5SjV98McFiZt2x5e1iy0HWa7s5JPnMm1YDmn95m/AkzLSx/BZLEiCWNRi+ZcTe7MpfH5RiO+N0oiiRviE4oUGy+flsWcFmeNuyRVCVldjsR1m6ibHgSBKcGvnaGlJQxpn/TIRt1CKan27aOuJ+HhjNo4eqNVUYAV9Gf+ZFG4EFcDHlSNiZAOn1CyR9yI18uwtG0Qdl2ozocqCZAlYaCR8LjG4DcWM9BkAfttB5JAsFpMYKdpD6zzSdnAQlbjNh4Thq6IeLBeiHVlWG+Vj5QmndorK63JQ8X/TloOW8hqeFmz4PkhwjDSiJMEpDUp9i5Ma/Kpe0FmMxruLVK8qJrwAoqZU0522R7rMZREgtm0xocmOGcmn1Twyc0iym0HhBDMptWR9I3mEgreWs7iWdlEx2NDHrfm2MAQE9dle1wgOFavqhc/CLHfdhCEFDNpFTtNu6+ULhCCFzWzz0tUEsmFDZetlZKx00b82pjtabrwoGpMiJGw4eHUanGExo2Hmc2oeFntL7EUU8pIbvSCQHBrNoVvdlrxiUeWBFw7RspAFAhuzaX7Mgi99f0ujhfCDylkkT+QJpFulug8ww+KJODmTBqP9g7K0xldxsoxKu7MUJlCEgVosogP1/N4XrGw0+ygmFIwk1b7ynTltnOmBtulU2j29LLXsmNRRAB4LBt4sFYYSZaL83qiSuJYhhlm09qxFZLTWFQZjo9PX9Th+AEzH5cEBCHt24uzGRUt24PjBVBlkVnyzJ/Pkuc0LOV0yALBVqMDCmAxq1+YwwkPqsbI3YUMPn/ZiN3JU9rxlhxddps2nlYM2F6AQlLFnbn0iW7UN2ZScLwQ+22Wgs0n2Xj4qFjM6cjoMjuZCwRzGe3UfnE5XcGe118STKjDmyw5V4vVYgKlNBNu1WQRpZQyNDvpByG+3W3HpePZtIZ7C2kkFAlvLGawlNfxi2e1ga+TpYsLysOQidoO9BhWDLy5eLTiOocz7TzZN7Dd6GC3ZcMPKDRZhCSQvmebLAi4O5/GGwsZULDJ/YuYvOtlNqNdiuYVD6rGSEqV8KObRTQsDwIhyCZeXeqomy6+2mrGH1faDizHxw9vFF9ZHhMFgreWs/CCNEJKT22JsdPs4GnZhO0FyCUU3J1PD+h7pFTpXK7qN2aTaHa8ONAURYJ786ML/DiTTUKRkCgcf/18v2/0lRL2WjYEAXGwktVl5JNyn2yDGEmcjIowpHCDEKo0vA/jyB7Dzsl6xDhXG0opHD+EIo7W+3QS2Gp0sNkj0WB7AdwggBcmIAsHh+PFnI6l11BChAdVY4YQciol8e0hZsGWG6DZ8U5cejlL1qduuni41er7+LOXDfzo5quDudOQUCR8cqOIiuEgoBSl1Gj6BjhXh93WoMzBXsvuywC9s8y8C2tm5F1YSpwr2O9lq9HB432mYq0rIu7OpweU1o/qMUxfkB0UZ3Iptx18t9uG7QWs7D2bulKDOI4/KP2QUmRcKyZg+xReEGImpV6IefEkwu8AF0wYUrRsD5osDk2HDpuQOu71UTHMid32AtQt79RNya9CEMjUWxFwxodICIJD4xWHzWvH5V3Y7Hh9Da4dN8CXm0386Gapr9QtROWO3n97uMfQ9oLY1eCiSx+cy8H2gj5VdNcP8fV2C2lNGvDfvCgcn12HCUUcSaP4WiGJ5xUrHjgihE0YzqQvzg5tkuFB1QVSMRw83G7Fp9v5rIY3FzN9maDFnD4gSJhQxD59IA7nqmA6Ph7ttdHseEiqbGx8Oa/jablfjuS8pT3bC+D4IdKqdGw5Zn9IliwIKSqGM5BtWMrpyGgSXlQtCAS4OZuOAy8mdGqCUvbQWS8lzzwSz5keKoYz1H7lWcXEjZnUhdqlAEwrsVepfSmvn7vP9vZ8GuW2jarpIqTMLSOhipBEMlQHynJ9PNoz0LDcSBoieaWDLx5UXRBBSPHVVrPPbHi3aSOXkPseGIWkgjcWM3hWYb1N+STrbRq33MBiTsN2o7/0qCsi8jyYOxWEkH8E4G8BcAE8AfDvUUobl7uqySQIKT59WYfjsTt+0/Lw+UYdH60XIEaTOwCb3DnrODSlzHx2q850emRJwJuLmSPtro6aTpKO8Dh8tNeOe7saHQ/vruTg+RTPezTquvp0pZT6Wgrdvk57QhL6WxncIMSziom9lo39loNcQsbby7lTD/icBdsLBgSbt+pscvY8WokpVcKH14p4VjFh2D4qhgNBIPjFszp0RcTby9k4KxeGFJ++OBjWanU8fLHZwEfXiiMr108avJnlgmh1vL6AqsswpejFnI4f3Szhx/fm8P5q/kK0PbpaJklVgigQlNIq3lvNce2o0/MzAPcppW8DeATgDy55PRNLxXDigKpLGAK7kZXRJzdK+ORG6VjFdMdnD45fPq/hm50WOm5/v8duy8Zm7UD40PNDfLXVPNKKYzGnQzwk7cEmFQeDsMf7Rl+zvOUE+Hq7hZo1uKcBoGYOf/014LXZEzNpFap88FjdrDNttW4LxeOygT/5fAtfbDRQHaL6PUqGOVp0Xz8vhaSCD9byWMwxR4yuUnvHDfCwpyReMZ04oOoShsBOY7B3+KpwNUPFCeSok4l6ASeWkzKX0c5kUdDseCi3Hcgiczc/7dThVYJS+i96PvxLAP/GZa1l0jm6f/BkDYRhSPGrF/XYM61hsevw4+vFeL9V2oMPED+gqFvu0EBJk0W8v5rHs4oJ0/GR1WXcGOJIwCQVWmhYHnRZRD6hQBAIGpaHuczwLJj+mvZVTcOeCEOK3ZaNlu0hpUpYyOpn0lQSBYIP1vJ4WjbRsFwQEFyfSUIWBWw3OrEQcj6hoNx28PbK+GzLjurjG+V1OCwpYNg+bC9g3/+IrTwCe8GJhQdVF0RSlTCTVlFuH5xORIFgZconJF5WrT5Bx+dVCw/W8hfeOzCh/F0A/8NlL2JSKaUUSCLpy+ASghOL9JUNZ8CE1vVD7DZtrEblwrMcZrK6fKzxKqUUn200sN2wYUWZsarp4uZsCookYCGjY7Nu91nwpDQJs9z7D5jAPdH9e9Z7Mjg7TRsfrObPJIeQUKTYDzWgLDsaUopq9P5STyb0ZdUaW1BVSCoD0iOaLGIhO7pJREUSYB5KuAnCQbm8mFKHTslelBDnZTA5aZLXgLeWsrg9l0YhpWAxp+PDa4Wx1ZUppQjHfBwIQoonlX6FdM8PBzwPrxqEkD8jhHw15L/f7fk3fwjAB/BHx7zP7xNCfkkI+WW5XL6IpU8UkijgvZV8LEOgKyLuL2VPPCU1TCcKYH0sXZbzgxmHQko51yRWxXBRN92+jFRX9mS1kIAkCXiwnseN2RRmMypuzKbwwdrZHtDTwjTvie7fs5em5WG/ff7y3HoU3AeUxiXn3iDqqGt4VLy7ksftuTRmMyrWS0l8eC0/0n6u9WJiwJR8OZ+I7W5EgeDdlVxsR6XJbI9f5d5Cnk64QITI/251zB5EL6sWnlVNeH4Yqaqnx9KXZXsBgiF9Yic1yZ1WKKW/ddznCSF/B8BPAPyYHlPLopT+FMBPAeDBgwdXOCF+NNmEjB9cLyIM6amDjlJKxSPSHigj9ho9J1UJD9bzeFmzYoeC8+rnWC67vrO6ghszJJqColgu6LGBsiweb+F01ZjmPdH9ex7GPOL107BWTEKVROw0O6ibLlRJ7AsoSmPOXordZw7G88wpplS8v5rHZr0DLwwxl9EGLJ+yuoyPrhXOtMenkXM9aV+nqY5pYb9l95Xj6qaLzzca+ORG6VTvE4QUHS+ALotH9hbosjg0tXsS5firCiHktwH8QwC/SSm1XvXvOYyz3Gx1RcS9hQwe7bXhBxSiQHCtlBy4/tKaPFLrmJx+oNuW1uQ463VrNn3Ul7zWTPqeOCprkhtRNmU+q2E+q+H2XBpfbDbiknUxpeD6FQi880nlRALXr0NABZw/U/UzAH9AKfUJIf8Z2FTHf3z+ZXHOyjART8thpYmTply3Gh18Hz2oJJGZIg8znBUEgrvz6T5T2YQiYr04/TeKc/CPAagAfhZNrP0lpfTfv9wlXQ4t28N2o4MwBBay2qmcBU7KYk7HXEaD6fosyL8Adf5sQsZKIYGN2kF8MJ/VjpRp4Ez2nsglFCwXdGzWDibSFnKjF7JMqhI+uVFC2/YgCQI33o5oWG783FrM6lN/KD9XUDUNUx2vG4eVpw9eP9nXm47fpxLtBxTfbLeQ0+WhzedzGTZSWzEcyKKAmZT62pxIhkEpvXnZa5gEKoaDLzYacbC93ejg3mJmaHB+XkSBIHPBatV35tNYzGlo2T5SqnTqHhEvYA31js9KkqN2LZgkpmFP3J1n1+Zxf09KKcqGg1bHQ0KRMJfRzjQheFnK6pPIbtPu87rdbnRwfyl7pin0SWGUjTYTN9XxOrKY07B3SBU6o8sn3sjlI5ozy23nyIk+TRZHambLmX6els2BXqenZWMsQdVl0Vv6Ow2OH+CXz+uxptbzioW1YgK35nj58DJ51d/z4Xarz+1io2bhQSRUyzkbT8v9g06UAk/KxlQHVa/MlU/zVMfrSDGl4v5SFilNgiwJmM9qeGfl5P0k8hGTIUe9zuEMo+MNmq46Xnik6ObrxEatMyBS2m2k50wmzY43YB/Wtn3sNK+uiOVFMOw+Me374JWZqmme6nhd6TZGnoW5tIqnstCndK3KAua4xg7nFOQTMvZb/VnPjC7zUz2GT8dSyl7nxsuTiXHERPNRr3NORi6hDMhZ5BLTXQo/V/qhZ6rjdyZxqoPDLAleVi00jrDOOIwkCniwVsBiTkdak7CY0/FgrRDrjnA4J+HWbBqJnkZcRRJwd4GXtwDEmj29CAITCB1GEFJUDQdt2xv6ec74Oapn7irrLR2HH4SoGs655XPuzqf7DhKaLOLOlJfBz9tTNdFTHa8zlFJ8udns65FayGknGi3XFRFvLJ7PyZzzeqMrIn54o8j8xwAUIhsXDrCS17HfstG2Dx5IN2fSQ+2daqaLLzcbsep8IaXgneUcz/hdMClVwmoxgZfVg9xBIaVgbkxq6JPMXsvG1zutWKNwLqPhzcXMmfY3m4gsoma5IEBs9zTNnHf6b+KnOl5XyoYz0HS+07CxlNOnPr3KmQ4IISMfS78KSKKAj64VUI4MpQtJZegQSBhSPNxu9tn41AwXL6pmLDLKuThuz6Uxn9XQtDwkFPG1vLb9IOwLqAAWZOWT8pmHlQSBXCk5Eq6ofkVpdYanZVsdnwdVHM4lQwh5peeb6fp9vY1daqaL6zPjWhnnODKafOHyHZNEs+MNddGomS6fAI/gjTJXlPQR/RlJlTfCcjjTgCIJA75qAHgzO+fSOOra49fkATyouqLMpFTkk/0nqlJafS1T1hzONKJKg/pvXS83DucySKrSgIaUJBKs8CxVDC//XVEEgeC9lTz22w4Mx0NGl/uMZjkczuRzZz6NtCahYjhQJAHL+QRSR4jwcjgXwZuLGeQSMmqmC10RsZJPcMudHvjuvMIIAon0ql6/CRUO56qwmNOxeIWU6DnTjSAQrBQSWCnw7NQwePmPw+FwOBwOZwTwoIrD4XA4HA5nBPCgisPhcDgcDmcE8KCKw+FwOBwOZwTwoIrD4XA4HA5nBPCgisPhcDgcDmcEEEoHJefH/k0JKQN4McZvUQJQGeP7jxK+1tFz2nWuUUov1fjjDHtiGv4Wk77GSV8fcHlrnMY9cVqm4e/fha919IzlOXEpQdW4IYT8klL64LLXcRL4WkfPtKzzPEzDzzjpa5z09QHTscZpZZp+t3yto2dc6+TlPw6Hw+FwOJwRwIMqDofD4XA4nBFwVYOqn172Ak4BX+vomZZ1nodp+BknfY2Tvj5gOtY4rUzT75avdfSMZZ1XsqeKw+FwOBwO56K5qpkqDofD4XA4nAvlygZVhJB/RAj5lhDyJSHkjwkhucteUy+EkN8mhHxHCHlMCPlPLns9R0EIWSGE/J+EkK8JIQ8JIX//stf0KgghIiHkM0LI/37Zaxknk3qNT/q1PS3X9OtyHV8mk7qHukz6XuoyLXuql3HtrysbVAH4GYD7lNK3ATwC8AeXvJ4YQogI4J8A+JcBvAHg3yaEvHG5qzoSH8B/SCl9A8DHAP6DCV5rl78P4JvLXsQFMHHX+JRc29NyTb8u1/FlMnF7qMuU7KUu07KnehnL/rqyQRWl9F9QSv3ow78EsHyZ6znERwAeU0qfUkpdAP8UwO9e8pqGQindoZR+Gv1/G+wiXLrcVR0NIWQZwL8K4L+57LWMmwm9xif+2p6Ga/p1uo4vkwndQ10mfi91mYY91cs499eVDaoO8XcB/PPLXkQPSwA2ej7exARfgF0IIesA3gPw88tdybH8FwD+IYDwshdywUzKNT5V1/YEX9Ov63V8mUzKHuoyVXupywTvqV7Gtr+kUb/hRUII+TMA80M+9YeU0j+J/s0fgqUm/+gi13bVIISkAPxPAP4BpbR12esZBiHkJwD2KaW/IoT81ctezyjg1/j4mNRr+ipex5cJ30MXx6TuqV7Gvb+mOqiilP7WcZ8nhPwdAD8B8GM6WdoRWwBWej5ejl6bSAghMthG+SNK6f982es5hh8B+B1CyL8CQAOQIYT895TSf+eS13VmpvAan4pre8Kv6St3HV8mU7iHukzFXuoy4Xuql7HuryurU0UI+W0A/zmA36SUli97Pb0QQiSwpsgfg22SXwD4PUrpw0td2BAIIQTAfwegRin9B5e9npMSnUD+I0rpTy57LeNiEq/xabi2p+mafh2u48tkEvdQl2nYS12maU/1Mo79dZV7qv4xgDSAnxFCPieE/FeXvaAuUWPk3wPwp2ANff/jJG6UiB8B+HcB/PXo9/h5FOFzLp+Ju8an5Nrm1zSny8TtoS5Tspe68D0VcWUzVRwOh8PhcDgXyVXOVHE4HA6Hw+FcGDyo4nA4HA6HwxkBPKjicDgcDofDGQE8qOJwOBwOh8MZATyo4nA4HA6HwxkBPKjicDgcDofDGQE8qOJwOBwOh8MZATyo4nA4HA6HwxkB/z/oI+QuSyaDugAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,4))\n",
    "for i,m,n in [(1,0,1),(2,1,2),(3,0,2)]:\n",
    "    plt.subplot(1,3,i)\n",
    "    plt.scatter(X[:,m],X[:,n],alpha=0.3, edgecolor='none');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "klist = []\n",
    "ilist = []\n",
    "for k in range(1,7):\n",
    "    kmeans = KMeans(n_clusters=k, copy_x=False)\n",
    "    kmeans.fit(X)\n",
    "    klist.append(k)\n",
    "    ilist.append(kmeans.inertia_)\n",
    "    if True:\n",
    "        C, L = kmeans.cluster_centers_, kmeans.labels_\n",
    "        plt.figure(figsize=(10,4))\n",
    "        for i,m,n in [(1,0,1),(2,1,2),(3,0,2)]:\n",
    "            plt.subplot(1,3,i) #,aspect='equal')\n",
    "            plt.scatter(X[:,m],X[:,n],c=L,cmap='rainbow', alpha=0.7, edgecolor='none');\n",
    "            plt.scatter(C[:,m],C[:,n],c='k',marker='o',s=200,alpha=0.4,edgecolor='none');\n",
    "plt.figure(); plt.plot(klist,ilist,'o-');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## $k$-medians clustering\n",
    "\n",
    "Replace mean with median for cluster centers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gaussian Mixture Models\n",
    "\n",
    "- A probabilistic approach to clustering\n",
    "\n",
    "> Infer the parameters of $k$ **components**\n",
    "\n",
    "- For example, a mixture of two Gaussians ($k\\!=\\!2$)\n",
    "\n",
    "> **Parameters** $\\boldsymbol{\\theta}$ are $(\\mu_1,\\Sigma_1),\\ (\\mu_2,\\Sigma_2)$ and the<br>\n",
    "> cluster membership probabilities $\\boldsymbol{\\kappa}$ \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## GMM with $k=2$\n",
    "\n",
    "\n",
    "- Difficult because of the unknown cluster memberships $\\boldsymbol{\\kappa}$\n",
    "\n",
    "> $\\kappa_i$ is the probability of that $x_i$ belongs to component 1 <br>\n",
    "> $(1\\!-\\!\\kappa_i)$ is the prob of belonging to component 2\n",
    "\n",
    "- Likelihood function\n",
    "\n",
    ">$\\displaystyle L(\\boldsymbol{\\theta};\\boldsymbol{x}) = \\prod_{i=1}^n \\Big[ \\kappa_i\\, G\\left(x_i;\\mu_1,\\Sigma_1\\right) + (1\\!-\\!\\kappa_i)\\, G\\left(x_i; \\mu_2,\\Sigma_2\\right)\\Big]$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Expectation-Maximization Algorithm\n",
    "\n",
    "- The EM algorithm is a general framework\n",
    "\n",
    ">0. Create an initial model $\\theta$\n",
    ">0. Find a better $\\theta'$ s.t. <br> \n",
    "> the likelihood improves: $p(D\\mid\\theta') > p(D\\mid\\theta)$ <br/> \n",
    "> (or the posterior)\n",
    ">0. Repeat until convergence\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step-by-step\n",
    "<img src=http://orig02.deviantart.net/e551/f/2012/098/9/a/3_easy_steps_to_draw_mona_lisa____by_mcdaotri21-d4vhuu2.png align=left width=450>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## E-step\n",
    "\n",
    "- Calculate the membership probabilities $\\boldsymbol{\\kappa}$\n",
    "\n",
    "> Based on the current model $(\\mu_1,\\mu_2,\\Sigma_1,\\Sigma_2)$ and data $\\boldsymbol{x}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## M-step\n",
    "\n",
    "- Maximize the likelihood function \n",
    "\n",
    "> Based on the estimated membership probabilities\n",
    "\n",
    "- In spirit, this is not completely unlike $k$-means clustering algorithm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visual Example\n",
    "\n",
    "<!--\n",
    "<img src=https://upload.wikimedia.org/wikipedia/commons/6/69/EM_Clustering_of_Old_Faithful_data.gif align=left>\n",
    "-->\n",
    "\n",
    "<img src=https://upload.wikimedia.org/wikipedia/commons/a/a7/Em_old_faithful.gif align=left width=400>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.mixture import GaussianMixture\n",
    "from sklearn import datasets\n",
    "from matplotlib.patches import Ellipse\n",
    "from math import pi\n",
    "#from math import arctan2\n",
    "\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:,:2] # only 2 features\n",
    "\n",
    "gmm = GaussianMixture(n_components=2)\n",
    "gmm.fit(X)\n",
    "Cpred = gmm.predict(X)\n",
    "\n",
    "ax = plt.subplot(111, aspect='equal')\n",
    "plt.scatter(X[:,0], X[:,1], c=Cpred, cmap='rainbow', alpha=0.7)\n",
    "\n",
    "for n in np.arange(gmm.n_components): \n",
    "    cov = gmm.covariances_[n][:2,:2] \n",
    "    v, w = np.linalg.eigh(cov)\n",
    "    angle = 180/pi * np.arctan2(w[0,1],w[0,0])\n",
    "    for i in range(1,4): # of contours\n",
    "        a = 2*i*np.sqrt(v) \n",
    "        ell = Ellipse(gmm.means_[n,:2], a[0],a[1], angle)\n",
    "        ell.set_alpha(0.1)\n",
    "        ax.add_artist(ell)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cluster on all features w/ plotting another projection\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:,:] \n",
    "\n",
    "    \n",
    "gmm = GaussianMixture(n_components=3)\n",
    "gmm.fit(X)\n",
    "Cpred = gmm.predict(X)\n",
    "\n",
    "ax = plt.subplot(111, aspect='equal')\n",
    "if False: # coloring by the true class memberships\n",
    "    plt.scatter(X[:,2], X[:,3], c=iris.target, cmap='rainbow', alpha=0.7) \n",
    "else:\n",
    "    plt.scatter(X[:,2], X[:,3], c=Cpred, cmap='rainbow', alpha=0.7) \n",
    "    \n",
    "for n in np.arange(gmm.n_components): \n",
    "    cov = gmm.covariances_[n][2:,2:] \n",
    "    v, w = np.linalg.eigh(cov)\n",
    "    angle = 180/pi * np.arctan2(w[0,1],w[0,0])\n",
    "    for i in range(1,4): # of contours\n",
    "        a = 2*i*np.sqrt(v) \n",
    "        ell = Ellipse(gmm.means_[n,2:], a[0],a[1], angle)\n",
    "        ell.set_alpha(0.1)\n",
    "        ax.add_artist(ell)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4, 4)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.covariances_[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 1, 1])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.predict(X)[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[9.06516804e-44, 1.00000000e+00, 6.39829159e-35],\n",
       "       [8.53836828e-31, 1.00000000e+00, 2.59954184e-28],\n",
       "       [9.37295905e-36, 1.00000000e+00, 4.21198692e-30],\n",
       "       [1.46701195e-31, 1.00000000e+00, 2.71194113e-26],\n",
       "       [3.36751068e-46, 1.00000000e+00, 2.68318787e-35]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.predict_proba(X)[:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What Gaussian?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = X[:,:2]\n",
    "ax = plt.subplot(111, aspect='equal')\n",
    "plt.scatter(X[:,0], X[:,1], c=iris.target, cmap='rainbow', alpha=0.7)\n",
    "\n",
    "gmm = GaussianMixture(n_components=3, covariance_type='diag')\n",
    "gmm.fit(X)\n",
    "\n",
    "for n in np.arange(gmm.n_components): \n",
    "    if gmm.covariance_type == 'spherical': cov = eye(X.shape[1])*gmm.covariances_[n]\n",
    "    elif gmm.covariance_type == 'full': cov = gmm.covariances_[n][:2, :2]\n",
    "    elif gmm.covariance_type == 'tied': cov = gmm.covariances_[:2, :2]\n",
    "    elif gmm.covariance_type == 'diag': cov = np.diag(gmm.covariances_[n][:2])\n",
    "    v, w = np.linalg.eigh(cov)\n",
    "    angle = 180/pi * np.arctan2(w[0,1],w[0,0])\n",
    "    for i in range(1,3):\n",
    "        a = 2*i*np.sqrt(v) \n",
    "        ell = Ellipse(gmm.means_[n,:2], a[0],a[1], angle)\n",
    "        ell.set_alpha(0.1)\n",
    "        ax.add_artist(ell)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision Boundaries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = iris.data[:,:2] # only 2 features\n",
    "\n",
    "gmm = GaussianMixture(n_components=3, covariance_type='full')\n",
    "gmm.fit(X)\n",
    "C = gmm.means_\n",
    "\n",
    "plt.figure(figsize=(10,4)); \n",
    "ax=plt.subplot(131,aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1], alpha=0.5);\n",
    "\n",
    "ax=plt.subplot(132,aspect='equal')\n",
    "plt.scatter(X[:,0],X[:,1],c=iris.target,cmap='rainbow', alpha=0.5);\n",
    "plt.scatter(C[:,0],C[:,1],c='k',marker='o',s=100,alpha=0.5,edgecolor='none');\n",
    "\n",
    "if True:\n",
    "    h = .005 # point in the mesh [x_min, m_max]x[y_min, y_max].\n",
    "    # Plot the decision boundary. For that, we will assign a color to each\n",
    "    x_min, x_max = 4, 8.5\n",
    "    y_min, y_max = 1.5, 5\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
    "\n",
    "    # Obtain labels for each point in mesh. Use last trained model.\n",
    "    P = gmm.predict(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "\n",
    "    # Put the result into a color plot\n",
    "    ax=plt.subplot(133,aspect='equal')\n",
    "    plt.imshow(P, interpolation='nearest',\n",
    "               extent=(xx.min(), xx.max(), yy.min(), yy.max()),\n",
    "               cmap=plt.cm.Paired,\n",
    "               aspect='equal', origin='lower', alpha=0.7)\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=gmm.predict(X), alpha=0.7, cmap='Spectral_r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Variants\n",
    "\n",
    "<img src=http://scikit-learn.org/stable/_images/sphx_glr_plot_gmm_covariances_0011.png align=left width=400>\n",
    "\n",
    "<!--<img src=files/plot_gmm_classifier_0011.png align=left width=400>-->\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison\n",
    "\n",
    "- Gaussian Mixture Model\n",
    "\n",
    "> Find components with matching distribution\n",
    "\n",
    "- $k$-means clustering\n",
    "\n",
    "> Tends to yield spherical clusters with similar sizes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/0/09/ClusterAnalysis_Mouse.svg/675px-ClusterAnalysis_Mouse.svg.png\" width=600 align=left>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.predict(X[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[9.99204553e-01, 7.09016312e-04, 8.64310149e-05],\n",
       "       [9.55121142e-01, 1.36297355e-02, 3.12491224e-02],\n",
       "       [9.98856020e-01, 8.01996185e-04, 3.41983504e-04]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.predict_proba(X[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.4980073602870045"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.score(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Soft Clustering?\n",
    "\n",
    "- GMM provides quality to each possible cluster membership\n",
    "\n",
    "> Instead of just in/out, have the likelihoods for all"
   ]
  }
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